# JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank

### done Critical Thinking

• A) $(a\sqrt{2},0)$

B) $\left( 0,\frac{a}{\sqrt{2}} \right)$

C) $\left( \frac{a}{\sqrt{2}},0 \right)$

D) $\left( -\frac{a}{\sqrt{2}},0 \right)$

• A) (1, 6)

B) $\left( -\frac{1}{2},\,5 \right)$

C) $\left( \frac{5}{6},\,6 \right)$

D) None of these

• A) A.M. of CA and CB

B) G.M. of CA and CB

C) H.M. of CA and CB

D) None of these

• A) $\left( \frac{8}{3},\,\frac{10}{3} \right)$

B) $\left( \frac{10}{3},\frac{14}{4} \right)$

C) $\left( \frac{10}{3},\frac{6}{3} \right)$

D) $\left( \frac{13}{4},\frac{10}{4} \right)$

• A) $(2,\,0)$and$(4,\,-1)$

B) $(2,\,-1)$and $(4,1)$

C) $(3,1)$and$(4,-1)$

D) $(2,1)$and$(4,-1)$

• A) An acute angled triangle

B) A right angled triangle

C) An isosceles triangle

D) None of these

• A) Lies at the origin

B) Cannot lie on x-axis

C) Cannot lie on y-axis

D) None of these

• A) (2, 1)

B) (1,2)

C) (4, 2)

D) (2,4)

• A) (5/3, 2)

B) (5/6, 1)

C) (2, 5/3)

D) (1, 5/6)

• A) Centroid

B) Incentre

C) Circumcentre

D) Orthocentre (A rational point is a point both of whose coordinates are rational numbers)

• A) (0, 0)

B) (4, 7)

C) (7, 4)

D) (7, 7)

• A) $\theta =\frac{n\pi }{2}$

B) $\theta \ne \frac{n\pi }{2}$

C) $\theta =n\pi$

D) None of these

• A) $36{{x}^{2}}+9{{y}^{2}}=4{{l}^{2}}$

B) $36{{x}^{2}}+9{{y}^{2}}={{l}^{2}}$

C) $9{{x}^{2}}+36{{y}^{2}}=4{{l}^{2}}$

D) None of these

• A) ${{x}^{2}}+{{y}^{2}}+2xy\tan \theta ={{a}^{2}}$

B) ${{x}^{2}}-{{y}^{2}}+2xy\tan \theta ={{a}^{2}}$

C) ${{x}^{2}}+{{y}^{2}}+2xy\cot \theta ={{a}^{2}}$

D) ${{x}^{2}}-{{y}^{2}}+2xy\cot \theta ={{a}^{2}}$

• A) $3x-2y=3$

B) $2x-3y=7$

C) $3x+2y=5$

D) $2x+3y=9$