Class 11

10-2. Parabola, Ellipse, Hyperbola question bank (Maths)

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Q1.

If the point $(2, -3)$ lies on the curve $kx^2 - 3y^2 + 2x + y - 2 = 0$,then $k$ is equal to:

(A)

$\frac{1}{7}$

(B)

$16$

(C)

$7$

(D)

$12$

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Q2.

The lines $y = -\frac{3}{2} x$ and $y = -\frac{2}{5} x$ intersect the curve $3x^2 + 4xy + 5y^2 - 4 = 0$ at the points $P$ and $Q$ respectively. The tangents drawn to the curve at $P$ and $Q$:

(A)

intersect each other at an angle of $45^\circ$

(B)

are parallel to each other

(C)

are perpendicular to each other

(D)

none of these

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