JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank

done Points related to triangle (Orthocente Circumcentre Incentre), Area of some geometrical figures Collinearity Total Questions - 56

• question_answer1)
  If the vertices of a triangle be \[(a,\,b-c),\,(b,\,c-a)\] and \[(c,\,a-b)\], then the centroid of the triangle lies
  A)
  At origin done clear
  B)
  On x-axis done clear
  C)
  On y-axis done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer2)
  If the vertices of a triangle be \[(a,\,1),\ (b,\,3)\]and \[(4,\,c),\]then the centroid of the triangle will lie on x-axis, if
  A)
  \[a+c=-4\] done clear
  B)
  \[a+b=-4\] done clear
  C)
  \[c=-4\] done clear
  D)
  \[b+c=-4\] done clear
  View Solution play_arrow

• question_answer3)
  Circumcentre of the triangle formed by the line \[y=x,\ \ y=2x\] and \[y=3x+4\]is
  A)
  (6, 8) done clear
  B)
  (6, - 8) done clear
  C)
  (3, 4) done clear
  D)
  (- 3, - 4) done clear
  View Solution play_arrow

• question_answer4)
  Two vertices of a triangle are (5, 4) and (-2, 4). If its centroid is (5, 6) then the third vertex has the coordinates  [MP PET 1993]
  A)
  (12, 10) done clear
  B)
  (10, 12) done clear
  C)
  (-10, 12) done clear
  D)
  (12, -10) done clear
  View Solution play_arrow

• question_answer5)
  If \[A(4,-3)\], \[B(3,-2)\]and\[C\,(2,\text{ }8)\]are the vertices of a triangle, then its centroid will be   [RPET 1984, 86]
  A)
  (-3, 3) done clear
  B)
  (3, 3) done clear
  C)
  (3, 1) done clear
  D)
  (1, 3) done clear
  View Solution play_arrow

• question_answer6)
  All points lying inside the triangle formed by the points (1, 3), (5,0) and (-1,2) satisfy   [IIT 1986; Kurukshetra CEE 1998]
  A)
  \[3x+2y\ge 0\] done clear
  B)
  \[2x+y-13\le 0\] done clear
  C)
  \[2x-3y-12\le 0\] done clear
  D)
  All the above done clear
  View Solution play_arrow

• question_answer7)
  The centroid of a triangle, whose vertices are (2,1), (5,2) and (3,4), is    [IIT 1964]
  A)
  \[\left( \frac{8}{3},\frac{7}{3} \right)\] done clear
  B)
  \[\left( \frac{10}{3},\frac{7}{3} \right)\] done clear
  C)
  \[\left( -\frac{10}{3},\frac{7}{3} \right)\] done clear
  D)
  \[\left( \frac{10}{3},-\frac{7}{3} \right)\] done clear
  View Solution play_arrow

• question_answer8)
  The incentre of the triangle formed by (0, 0), (5,12), (16, 12) is   [EAMCET 1984]
  A)
  (7, 9) done clear
  B)
  (9, 7) done clear
  C)
  (-9, 7) done clear
  D)
  (-7, 9) done clear
  View Solution play_arrow

• question_answer9)
  The equations of the sides of a triangle are \[x+y-5=0;\ \] \[x-y+1=0\] and \[y-1=0,\] then the coordinates of the circumcentre are [MP PET 1996]
  A)
  (2, 1) done clear
  B)
  (1, 2) done clear
  C)
  (2, -2) done clear
  D)
  (1, -2) done clear
  View Solution play_arrow

• question_answer10)
  If two vertices of a triangle are (6,4), (2,6) and its centroid is (4, 6), then the third vertex is   [RPET 1996]
  A)
  (4, 8) done clear
  B)
  (8, 4) done clear
  C)
  (6, 4) done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer11)
  The incentre of the triangle with vertices \[(1,\sqrt{3})\], (0, 0) and (2, 0) is    [IIT Screening 2000]
  A)
  \[\left( 1,\frac{\sqrt{3}}{2} \right)\] done clear
  B)
  \[\left( \frac{2}{3},\frac{1}{\sqrt{3}} \right)\] done clear
  C)
  \[\left( \frac{2}{3},\frac{\sqrt{3}}{2} \right)\] done clear
  D)
  \[\left( 1,\frac{1}{\sqrt{3}} \right)\] done clear
  View Solution play_arrow

• question_answer12)
  If \[A({{x}_{1}},{{y}_{1}}),\ B({{x}_{2}},{{y}_{2}})\] and \[C({{x}_{3}},{{y}_{3}})\] are the vertices of a triangle, then the excentre with respect to B is [RPET 2000]
  A)
  \[\left( \frac{a{{x}_{1}}-b{{x}_{2}}+c{{x}_{3}}}{a-b+c},\,\frac{a{{y}_{1}}-b{{y}_{2}}+c{{y}_{3}}}{a-b+c} \right)\] done clear
  B)
  \[\left( \frac{a{{x}_{1}}+b{{x}_{2}}-c{{x}_{3}}}{a+b-c},\,\frac{a{{y}_{1}}+b{{y}_{2}}-c{{y}_{3}}}{a+b-c} \right)\] done clear
  C)
  \[\left( \frac{a{{x}_{1}}-b{{x}_{2}}-c{{x}_{3}}}{a-b-c},\,\frac{a{{y}_{1}}-b{{y}_{2}}-c{{y}_{3}}}{a-b-c} \right)\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer13)
  Orthocentre of the triangle formed by the lines \[x+y=1\]and \[xy=0\]is  [Orissa JEE 2004]
  A)
  (0, 0) done clear
  B)
  (0, 1) done clear
  C)
  (1, 0) done clear
  D)
  (-1, 1) done clear
  View Solution play_arrow

• question_answer14)
  If the vertices of a triangle be \[(am_{1}^{2},2a{{m}_{1}}),\,(am_{2}^{2},2a{{m}_{2}})\] and \[(am_{3}^{2},2a{{m}_{3}}),\] then the area of the triangle is  
  A)
  \[a({{m}_{2}}-{{m}_{3}})({{m}_{3}}-{{m}_{1}})({{m}_{1}}-{{m}_{2}})\] done clear
  B)
  \[({{m}_{2}}-{{m}_{3}})({{m}_{3}}-{{m}_{1}})({{m}_{1}}-{{m}_{2}})\] done clear
  C)
  \[{{a}^{2}}({{m}_{2}}-{{m}_{3}})({{m}_{3}}-{{m}_{1}})({{m}_{1}}-{{m}_{2}})\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer15)
  If the coordinates of the points A, B, C, be (4,4), (3,-2) and (3,-16) respectively, then the area of the triangle ABC is  [MP PET 1982]
  A)
  27 done clear
  B)
  15 done clear
  C)
  18 done clear
  D)
  7 done clear
  View Solution play_arrow

• question_answer16)
  The area of the triangle formed by the points \[(a,b+c),\,(b,c+a),\,(c,a+b)\] is   [IIT 1963; EAMCET 1982; RPET 2003]
  A)
  \[abc\] done clear
  B)
  \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\] done clear
  C)
  \[ab+bc+ca\] done clear
  D)
  0 done clear
  View Solution play_arrow

• question_answer17)
  The area of the triangle formed by the lines \[7x-2y+10=0,\] \[7x+2y-10=0\] and  \[y+2=0\] is [IIT 1977]
  A)
  8 sq. unit done clear
  B)
  12 sq. unit done clear
  C)
  14 sq. unit done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer18)
  If x\[\left| \begin{matrix}    {{x}_{1}} & {{y}_{1}} & 1  \\    {{x}_{2}} & {{y}_{2}} & 1  \\    {{x}_{3}} & {{y}_{3}} & 1  \\ \end{matrix} \right|=\left| \begin{matrix}    {{a}_{1}} & {{b}_{1}} & 1  \\    {{a}_{2}} & {{b}_{2}} & 1  \\    {{a}_{3}} & {{b}_{3}} & 1  \\ \end{matrix} \right|\]., then the two triangle with vertices \[({{x}_{1}},{{y}_{1}}),\,({{x}_{2}},{{y}_{2}}),\,\] \[({{x}_{3}},{{y}_{3}})\] and \[({{a}_{1}},{{b}_{1}}),\,\]\[\,({{a}_{2}},{{b}_{2}}),\] \[({{a}_{3}},{{b}_{3}})\] must be [IIT 1985]
  A)
  Similar done clear
  B)
  Congruent done clear
  C)
  Never congruent done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer19)
  The area of the triangle formed by the lines \[y={{m}_{1}}x+{{c}_{1}},\,\] \[y={{m}_{2}}x+{{c}_{2}}\] and \[x=0\]is
  A)
  \[\frac{1}{2}\frac{{{({{c}_{1}}+{{c}_{2}})}^{2}}}{({{m}_{1}}-{{m}_{2}})}\] done clear
  B)
  \[\frac{1}{2}\frac{{{({{c}_{1}}-{{c}_{2}})}^{2}}}{({{m}_{1}}+{{m}_{2}})}\] done clear
  C)
  \[\frac{1}{2}\frac{{{({{c}_{1}}-{{c}_{2}})}^{2}}}{({{m}_{1}}-{{m}_{2}})}\] done clear
  D)
  \[\frac{{{({{c}_{1}}-{{c}_{2}})}^{2}}}{({{m}_{1}}-{{m}_{2}})}\] done clear
  View Solution play_arrow

• question_answer20)
  The area of a triangle whose vertices are (1, -1), (-1, 1) and (-1, -1) is given by  [AMU 1981; RPET 1989; MP PET 1993; Pb. CET 2001]
  A)
  \[2\] done clear
  B)
  \[\frac{1}{2}\] done clear
  C)
  1 done clear
  D)
  3 done clear
  View Solution play_arrow

• question_answer21)
  Three points are \[A(6,\text{ }3),\,B\text{ }(-\,3,\text{ }5),\,C\text{ }(4,\text{ }-2)\]and P (x, y) is a point, then the ratio of area of \[\Delta \]PBC and \[\Delta \]ABC is       [IIT 1983]
  A)
  \[\left| \frac{x+y-2}{7} \right|\] done clear
  B)
  \[\left| \frac{x-y+2}{2} \right|\] done clear
  C)
    \[\left| \frac{x-y-2}{7} \right|\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer22)
  If \[A(6,3),\]\[B(-3,5)\], \[C(4,-2)\] and \[D(x,\text{ }3x)\]are four points. If the ratio of area of \[\Delta DBC\]and \[\Delta ABC\]is 1 : 2, then the value of x, will be [IIT 1959]
  A)
  \[\frac{11}{8}\] done clear
  B)
  \[\frac{8}{11}\] done clear
  C)
  \[3\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer23)
  Area of a triangle whose vertices are \[(a\cos \theta ,b\sin \theta ),\] \[(-a\sin \theta ,b\cos \theta )\] and \[(-a\cos \theta ,-b\sin \theta )\] is
  A)
  \[a\cos \theta \sin \theta \] done clear
  B)
  \[ab\sin \theta \cos \theta \] done clear
  C)
  \[\frac{1}{2}ab\] done clear
  D)
  \[ab\] done clear
  View Solution play_arrow

• question_answer24)
  The area of the triangle enclosed by the straight lines \[x=0,\] \[y=0\,\]and\[x+2y+3=0\]in sq. unit is
  A)
  \[\frac{9}{2}\] done clear
  B)
  \[\frac{9}{4}\] done clear
  C)
  \[\frac{3}{4}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer25)
  The area of the triangle with vertices at \[(-4,\text{ }1),\,(1,\text{ }2),\,(4,\text{ }-3)\] is      [EAMCET 1980]
  A)
  14 done clear
  B)
  16 done clear
  C)
  15 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer26)
  \[P(2,1),\,Q(4,-1),\,R(3,2)\] are the vertices of triangle and if through P and R lines parallel to opposite sides are drawn to intersect in S, then the area of PQRS is
  A)
  6 done clear
  B)
  4 done clear
  C)
  8 done clear
  D)
  12 done clear
  View Solution play_arrow

• question_answer27)
  The vertices of the triangle ABC are (2,1), (4,3) and (2,5). \[D,\,E,\,F\]are the mid-points of the sides. The area of the triangle DEF  is   
  A)
  1 done clear
  B)
  1.5 done clear
  C)
  3 done clear
  D)
  4 done clear
  View Solution play_arrow

• question_answer28)
  If the vertices of a triangle are \[(5,2),\,(2/3,2)\] and \[(-4,\text{ }3)\], then the area of the triangle is  [Kurukshetra CEE 2002]
  A)
  28/6 done clear
  B)
  5/2 done clear
  C)
  \[43\] done clear
  D)
  13/6 done clear
  View Solution play_arrow

• question_answer29)
  If the area of the triangle with vertices \[(x,\text{ }0),\,(1,\text{ }1)\] and \[(0,\text{ }2)\] is 4 square units then a value of x is   [Karnataka CET 2004]
  A)
  - 2 done clear
  B)
  - 4 done clear
  C)
  - 6 done clear
  D)
  8 done clear
  View Solution play_arrow

• question_answer30)
  Three points \[(p+1,\text{ }1)\], \[(2p+1,\text{ }3\]) and \[(2p+2,\ 2p)\] are collinear, if p =  [MP PET 1986]
  A)
  - 1 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  0 done clear
  View Solution play_arrow

• question_answer31)
  If the points \[A(3,\text{ }4),\,B(7,\text{ }7),\,C(a,\text{ }b)\] be collinear and \[AC=10\], then \[(a,\text{ }b)\]=   
  A)
  \[(11,\text{ }10)\] done clear
  B)
  \[(10,\text{ }11)\] done clear
  C)
  \[(11/2,\,5)\] done clear
  D)
  \[(5,\text{ }11/2)\] done clear
  View Solution play_arrow

• question_answer32)
  If the points \[(k,\,2-2k)\], \[(1-k,\text{ }2k)\] and \[(-k-4,\text{ }6-2k)\] be collinear, then the possible values of k are [AMU 1978; RPET 1997]
  A)
  \[\frac{1}{2},-1\] done clear
  B)
  \[1,-\frac{1}{2}\] done clear
  C)
  \[1,-2\] done clear
  D)
  \[2,-1\] done clear
  View Solution play_arrow

• question_answer33)
  If the points \[(a,b),\,(a',b')\]and \[(a-a',b-b')\]are collinear, then      [RPET 1999]
  A)
  \[ab'=a'b\] done clear
  B)
  \[ab=a'b'\] done clear
  C)
  \[aa'=bb'\] done clear
  D)
  \[{{a}^{2}}+{{b}^{2}}=1\] done clear
  View Solution play_arrow

• question_answer34)
  If the points \[(a,\,0),\ (0,\,b)\]and (1, 1) are collinear, then   
  A)
  \[\frac{1}{{{a}^{2}}}+\frac{1}{{{b}^{2}}}=1\] done clear
  B)
  \[\frac{1}{{{a}^{2}}}-\frac{1}{{{b}^{2}}}=1\] done clear
  C)
  \[\frac{1}{a}+\frac{1}{b}=1\] done clear
  D)
  \[\frac{1}{a}-\frac{1}{b}=1\] done clear
  View Solution play_arrow

• question_answer35)
  If the points \[(-5,\,1),\,(p,\,5)\]and \[(10,\,7)\]are collinear, then the value of p will be       [MP PET 1984]
  A)
  5 done clear
  B)
  3 done clear
  C)
  4 done clear
  D)
  7 done clear
  View Solution play_arrow

• question_answer36)
  If points (5, 5), (10, k) and (-5, 1) are collinear, then k =                         [MP PET 1994, 99; RPET 2003]
  A)
  3 done clear
  B)
  5 done clear
  C)
  7 done clear
  D)
  9 done clear
  View Solution play_arrow

• question_answer37)
  If the points (-2,-5), (2,-2), (8,a) are collinear, then the value of a is      [MP PET 2002]
  A)
  \[-\frac{5}{2}\] done clear
  B)
  \[\frac{5}{2}\] done clear
  C)
  \[\frac{3}{2}\] done clear
  D)
  \[\frac{1}{2}\] done clear
  View Solution play_arrow

• question_answer38)
  If the points \[(x+1,\,2),\ (1,x+2),\ \left( \frac{1}{x+1},\frac{2}{x+1} \right)\]are collinear, then x is      [RPET 2002]
  A)
  4 done clear
  B)
  0 done clear
  C)
  -4 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer39)
  If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is   [AIEEE 2005]
  A)
  \[\left( 1,\,\frac{7}{3} \right)\] done clear
  B)
  \[\left( \frac{1}{3},\,\frac{7}{3} \right)\] done clear
  C)
  \[\left( -1,\,\frac{7}{3} \right)\] done clear
  D)
  \[\left( \frac{-1}{3},\,\frac{7}{3} \right)\] done clear
  View Solution play_arrow

• question_answer40)
  The incentre of a triangle with vertices (7, 1) (-1, 5) and \[(3+2\sqrt{3},\,3+4\sqrt{3})\] is   [J & K 2005]
  A)
  \[\left( 3+\frac{2}{\sqrt{3}},\,3+\frac{4}{\sqrt{3}} \right)\] done clear
  B)
  \[\left( 1+\frac{2}{3\sqrt{3}},\,1+\frac{4}{3\sqrt{3}} \right)\] done clear
  C)
  (7, 1) done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer41)
  The orthocentre of the triangle with vertices (-2, -6), (-2, 4) and (1, 3) is   [J & K 2005]
  A)
  (-3, 1) done clear
  B)
  (-1, 1/3) done clear
  C)
  (1, 3) done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer42)
  Orthocentre of the triangle whose vertices are (0, 0) (3, 0) and (0, 4) is        [MNR 1982; RPET 1997]
  A)
  (0, 0) done clear
  B)
  (1, 1) done clear
  C)
  (2, 2) done clear
  D)
  (3, 3) done clear
  View Solution play_arrow

• question_answer43)
  If the points \[(k,\,3),(2,k),(-k,\,3)\]are collinear, then the values of k are  [Kerala(Engg.) 2005]
  A)
  2, 3 done clear
  B)
  1, 0 done clear
  C)
  1, 2 done clear
  D)
  1, -1/2 done clear
  E)
  (e) 0, 3 done clear
  View Solution play_arrow

• question_answer44)
  The circumcentre of a triangle formed by the line \[xy+2x+2y+4=0\] and \[x+y+2=0\] is [Orissa JEE 2005]
  A)
  (-1, -1) done clear
  B)
  (0, -1) done clear
  C)
  (1, 1) done clear
  D)
  (-1, 0) done clear
  View Solution play_arrow

• question_answer45)
  If equation of three sides of a triangle are \[x=2,\] \[y+1=0\] and \[x+2y=4\] then co-ordinates of circumcentre of this triangle are [AMU 2005]
  A)
  (4, 0) done clear
  B)
  (2, -1) done clear
  C)
  (0, 4) done clear
  D)
  (-1, 2)  done clear
  View Solution play_arrow

• question_answer46)
  The orthocentre of the triangle formed by (0, 0), (8, 0), (4 6) is    [EAMCET 1991]
  A)
  \[\left( 4,\,\frac{8}{3} \right)\] done clear
  B)
  (3, 4) done clear
  C)
  (4, 3) done clear
  D)
  (-3, 4) done clear
  View Solution play_arrow

• question_answer47)
  The incentre of triangle formed by the lines \[x=0,\] \[y=0\] and \[3x+4y=12\] is   [RPET 1990]
  A)
  \[\left( \frac{1}{2},\,\frac{1}{2} \right)\] done clear
  B)
  (1, 1) done clear
  C)
  \[\left( 1,\,\frac{1}{2} \right)\] done clear
  D)
  \[\left( \frac{11}{2},\,1 \right)\] done clear
  View Solution play_arrow

• question_answer48)
  Orthorcentre of triangle with vertices (0, 0), (3, 4) and (4, 0) is    [IIT Screening 2003]
  A)
  \[\left( 3,\,\frac{5}{4} \right)\] done clear
  B)
  (3, 12) done clear
  C)
  \[\left( 3,\,\frac{3}{4} \right)\] done clear
  D)
  (3, 9) done clear
  View Solution play_arrow

• question_answer49)
  The orthocentre of triangle formed by lines \[4x-7y+10=0,\] \[x+y=5\]  and \[7x+4y=15\] is [IIT 1969, 76]
  A)
  (1, 2) done clear
  B)
  (1, -2) done clear
  C)
  (-1, -2) done clear
  D)
  (-1, 2) done clear
  View Solution play_arrow

• question_answer50)
  Coordinates of the orthocentre of the triangle whose sides are \[x=3,\,y=4\] and \[3x+4y=6\] is [MNR 1989]
  A)
  (0, 0) done clear
  B)
  (3, 0) done clear
  C)
  (0, 4) done clear
  D)
  (3, 4) done clear
  View Solution play_arrow

• question_answer51)
  The orthocentre of the triangle formed by the lines \[x+y=1,\,2x+3y=6\] and \[4x-y+4=0\] lies in quadrant  [IIT 1985]
  A)
  First done clear
  B)
  Second done clear
  C)
  Third done clear
  D)
  Fourth done clear
  View Solution play_arrow

• question_answer52)
  The vertices of a triangle are \[[a{{t}_{1}}{{t}_{2}},\,a({{t}_{1}}+{{t}_{2}})],\,\]\[[a{{t}_{2}}{{t}_{3}},\,a({{t}_{2}}+{{t}_{3}})]\], \[[a{{t}_{3}}{{t}_{1}},\,a({{t}_{3}}+{{t}_{1}})]\], then the coordinates of its orthocentre are [IIT 1983]
  A)
  \[[a,\,a({{t}_{1}}+{{t}_{2}}+{{t}_{3}}+{{t}_{1}}{{t}_{2}}{{t}_{3}})]\] done clear
  B)
  \[[-a,a\,({{t}_{1}}+{{t}_{2}}+{{t}_{3}}+{{t}_{1}}{{t}_{2}}{{t}_{3}})]\] done clear
  C)
  \[[-a\,({{t}_{1}}+{{t}_{2}}+{{t}_{3}}+{{t}_{1}}{{t}_{2}}{{t}_{3}}),\,a]\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer53)
  Two vertices of a triangle are (4, -3) and (-2, 5). If the orthocentre of the triangle is at (1, 2), then the third vertex is  [Roorkee 1987]
  A)
  (- 33, -26) done clear
  B)
  (33, 26) done clear
  C)
  (26, 33) done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer54)
  The orthocentre of the triangle with vertices \[\left( 2,\,\frac{\sqrt{3}-1}{2} \right)\], \[\left( \frac{1}{2},\,-\frac{1}{2} \right)\] and \[\left( 2,\,-\frac{1}{2} \right)\] is   [IIT 1993]
  A)
  \[\left( \frac{3}{2},\,\frac{\sqrt{3}-3}{6} \right)\] done clear
  B)
  \[\left( 2,\,-\frac{1}{2} \right)\] done clear
  C)
  \[\left( \frac{5}{4},\,\frac{\sqrt{3}-2}{4} \right)\] done clear
  D)
  \[\left( \frac{1}{2},\,-\frac{1}{2} \right)\] done clear
  View Solution play_arrow

• question_answer55)
  Orthocentre of the triangle whose vertices are (0, 0) (2, -1) and (1, 3) is                     [ISM Dhanbad1970; IIT 1967, 74]
  A)
  \[\left( \frac{4}{7},\,\frac{1}{7} \right)\] done clear
  B)
  \[\left( -\frac{4}{7},\,-\frac{1}{7} \right)\] done clear
  C)
  (-4, -1) done clear
  D)
  (4, 1) done clear
  View Solution play_arrow

• question_answer56)
  The area of triangle formed by the points \[(a,b+c),\] \[(b,c+a),\] \[(c,\,a+b)\]  is equal to [Pb. CET 2003]
  A)
  \[abc\] done clear
  B)
  \[{{a}^{2}}+{{b}^{2}}+{{c}^{2}}\] done clear
  C)
  \[ab+bc+ca\] done clear
  D)
  0 done clear
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