Class 11

24. Conic Sections question bank (Maths)

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Q1.

Let PQ be a chord of the parabola \(y^{2} = 4x\). A circle drawn with PQ as a diameter passes through the vertex V of the parabola. If \(ar(\triangle PVQ) = 20\) sq unit then the coordinates of P are

(A)

(16, 8)

(B)

(16, -8)

(C)

(-16, 8)

(D)

(-16, -8)

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Q2.

A tangent to the parabola \(y^{2} = 4ax\) is inclined at \(\pi/3\) with the axis of the parabola. The point of contact is

(A)

\((\frac{a}{3}, -\frac{2a}{\sqrt{3}})\)

(B)

\((3a, -2\sqrt{3}a)\)

(C)

\((3a, 2\sqrt{3}a)\)

(D)

\((\frac{a}{3}, \frac{2a}{\sqrt{3}})\)

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