# JEE Main & Advanced Mathematics Straight Line Question Bank

### done Problems related to triangle and quadrilateral Locus

• A) $5{{a}^{2}}sq$. units

B) $\frac{5}{2}{{a}^{2}}sq.$units

C) $\frac{25{{a}^{2}}}{2}sq.$units

D) None of these

• A) The incentre

B) The centroid

C) The circumcentre

D) The orthocentre of the triangle

• A) $\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{[(a_{1}^{2}+b_{1}^{2})(a_{2}^{2}+b_{2}^{2})]}^{1/2}}}$

B) $\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{a}_{1}}{{a}_{2}}-{{b}_{1}}{{b}_{2}}}$

C) $\frac{({{d}_{1}}+{{c}_{1}})({{d}_{2}}+{{c}_{2}})}{{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}}$

D) $\frac{({{d}_{1}}-{{c}_{1}})({{d}_{2}}-{{c}_{2}})}{{{a}_{1}}{{b}_{2}}-{{a}_{2}}{{b}_{1}}}$

• A) $\pm (p-q)(r-s)\,\text{cosec}(\alpha -\beta )$

B) $(p+q)(r-s)\,\text{cosec }(\alpha +\beta )$

C) $(p+q)(r+s)\,\text{cosec }(\alpha -\beta )$

D) None of these

• A) $\frac{1}{2}\frac{{{a}^{2}}}{|bc|}$

B) $\frac{1}{2}\frac{{{c}^{2}}}{|ab|}$

C) $\frac{1}{2}\frac{{{b}^{2}}}{|ac|}$

D) 0

• A) Isosceles

B) Equilateral

C) Right?angled

D) None of these

• A) 9

B) 9/2

C) 2

D) 2/9

• A) $\sin 2\alpha$

B) $\cos 2\alpha$

C) $2\sin 2\alpha$

D) $2\cos 2\alpha$

• A) $\frac{{{c}^{2}}}{ab}$

B) $\frac{2{{c}^{2}}}{ab}$

C) $\frac{{{c}^{2}}}{2ab}$

D) None of these

• A) Isosceles

B) Equilateral

C) Right angled

D) None of these

• A) $13{{x}^{2}}+13{{y}^{2}}-83x+64y+182=0$

B) ${{x}^{2}}+{{y}^{2}}-11x+16y+26=0$

C) ${{x}^{2}}+{{y}^{2}}-11x+16y=0$

D) None of these

• A) $21x-77y+153=0$

B) $99x+77y-133=0$

C) $7x-11y=19$

D) None of these

• A) $3{{x}^{2}}+4{{y}^{2}}=192$

B) $4{{x}^{2}}+3{{y}^{2}}=192$

C) ${{x}^{2}}+{{y}^{2}}=192$

D) None of these

• A) $x+y+2=0$

B) $x+y=2$

C) $x-y=2$

D) None of these

• A) Square

B) Circle

C) Straight line

D) Two intersecting lines

• A) $\alpha \beta (x+y)=xy(\alpha +\beta )$

B) $\alpha \beta (x+y)=2xy(\alpha +\beta )$

C) $(\alpha +\beta )(x+y)=2\alpha \beta xy$

D) None of these

• A) $6x+y-32=0$

B) $6x-y+32=0$

C) $x+6y-32=0$

D) $6x-y-32=0$

• A)  $2xy+x+y=0$

B) $x+y-2xy=0$

C) $x+y+2=0$

D) $x+y-2=0$

• A) $7x-9y+4=0$

B) $9x-7y-4=0$

C) $9x+7y+4=0$

D) $7+9y+4=0$