Class 11

Rectangular Cartesian Co-ordinates question bank (Maths)

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Q1.

Two fixed points are $A(a, 0)$ and $B(-a, 0)$. If $\angle A - \angle B = \theta$,then the locus of point $C$ of triangle $ABC$ will be

(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)

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

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Q2.

The point to which the origin is to be shifted to eliminate $x$ and $y$ terms of the equation $4x^2+9y^2-8x+36y+4=0$ is

(A)

$(1, -2)$

(B)

$(-1, 2)$

(C)

$(1, 2)$

(D)

$(-1, -2)$

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