JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank

done Questions related to geometrical conditions Total Questions - 17

• question_answer1)
  The three points (-2,2), (8,-2) and (-4, -3) are the vertices of     [RPET 1987]
  A)
  An isosceles triangle done clear
  B)
  An equilateral triangle done clear
  C)
  A right angled triangle done clear
  D)
  None of these done clear
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• question_answer2)
  The points \[\left( \frac{a}{\sqrt{3}},a \right),\ \left( \frac{2a}{\sqrt{3}},\,2a \right),\ \left( \frac{a}{\sqrt{3}},\,3a \right)\]are the vertices of
  A)
  An equilateral triangle done clear
  B)
  An isosceles triangle done clear
  C)
  A right angled triangle done clear
  D)
  None of these done clear
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• question_answer3)
  The points \[(a,b),\ (c,d)\]and \[\left( \frac{kc+la}{k+l},\,\frac{kd+lb}{k+l} \right)\] are
  A)
  Vertices of an equilateral triangle done clear
  B)
  Vertices of an isosceles triangle done clear
  C)
  Vertices of a right angled triangle done clear
  D)
  Collinear done clear
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• question_answer4)
  The points (0, 8/3), (1, 3) and (82, 30) are the vertices of   [IIT 1983, RPET 1988]
  A)
  An equilateral triangle done clear
  B)
  An isosceles triangle done clear
  C)
  A right angled triangle done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer5)
  The points (3a, 0), (0, 3b) and (a, 2b) are   [MP PET 1982]
  A)
  Vertices of an equilateral triangle done clear
  B)
  Vertices of an isosceles triangle done clear
  C)
  Vertices of a right angled isosceles triangle done clear
  D)
  Collinear done clear
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• question_answer6)
  The points \[(-a,-b),\ (a,b),\ ({{a}^{2}},ab)\]are
  A)
  Vertices of an equilateral triangle done clear
  B)
  Vertices of a right angled triangle done clear
  C)
  Vertices of an isosceles triangle done clear
  D)
  Collinear done clear
  View Solution play_arrow

• question_answer7)
  The quadrilateral formed by the vertices (-1,1), (0,-3), (5,2) and (4,6) will be    [RPET 1986]
  A)
  Square done clear
  B)
  Parallelogram done clear
  C)
  Rectangle done clear
  D)
  Rhombus done clear
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• question_answer8)
  The points A(-4,­-1), B (-2,-4), C(4,0) and D(2,3) are the vertices of     [Roorkee 1973]
  A)
  Parallelogram done clear
  B)
  Rectangle done clear
  C)
  Rhombus done clear
  D)
  None of these done clear
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• question_answer9)
  If the vertices of triangle are (0,2), (1,0) and (3,1), then the triangle is   
  A)
  Equilateral done clear
  B)
  Isosceles done clear
  C)
  Right angled done clear
  D)
  Isosceles right angled done clear
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• question_answer10)
  The points \[(-a,\,-b),\ (0,\,0),\ (a\,,b)\]and \[({{a}^{2}},ab)\]are [IIT 1979]
  A)
  Collinear done clear
  B)
  Vertices of a rectangle done clear
  C)
  Vertices of a parallelogram done clear
  D)
  None of these done clear
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• question_answer11)
  The points \[(0,\text{ }0),\ (a,\text{ }0)\] and \[\left( \frac{a}{2},\,\frac{a\sqrt{3}}{2} \right)\] are vertices of
  A)
  Isosceles triangle done clear
  B)
  Equilateral triangle done clear
  C)
  Scalene triangle done clear
  D)
  None of these done clear
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• question_answer12)
  If vertices of a quadrilateral are A (0,0), B(3,4), C(7,7) and D(4,3) then quadrilateral ABCD is  [RPET 1986]
  A)
  Parallelogram done clear
  B)
  Rectangle done clear
  C)
  Square done clear
  D)
  Rhombus done clear
  View Solution play_arrow

• question_answer13)
  If vertices of any quadrilateral are (0, -1), (2,1), (0, 3) and  (- 2,1), then it is a     [RPET 1999]
  A)
  Parallelogram done clear
  B)
  Square done clear
  C)
  Rectangle done clear
  D)
  Collinear done clear
  View Solution play_arrow

• question_answer14)
  A triangle with vertices (4, 0), (-1, -1), (3, 5) is [AIEEE 2002]
  A)
  Isosceles and right angled done clear
  B)
  Isosceles but not right angled done clear
  C)
  Right angled but not isosceles done clear
  D)
  Neither right angled nor isosceles done clear
  View Solution play_arrow

• question_answer15)
  The triangle joining the points P(2, 7), Q(4, -1), R(-2, 6) is   [MP PET 1997]
  A)
  Equilateral triangle done clear
  B)
  Right-angled triangle done clear
  C)
  Isosceles triangle done clear
  D)
  Scalene triangle done clear
  View Solution play_arrow

• question_answer16)
  Vertices of figure are (-2,2), (-2,­-1), (3,-1), (3,2). It is a [Karnataka CET 1998]
  A)
  Square done clear
  B)
  Rhombus done clear
  C)
  Rectangle done clear
  D)
  Parallelogram done clear
  View Solution play_arrow

• question_answer17)
  If the points (1,1) (-1,-1) \[(-\sqrt{3},\sqrt{3})\]are the vertices of a triangle, then this triangle is  [MP PET 2004]
  A)
  Equilateral done clear
  B)
  Right-angled done clear
  C)
  Isosceles done clear
  D)
  None of these done clear
  View Solution play_arrow