Question

If the tangent at a point 𝑃 on the parabola $𝑦^2=3𝑥$ is parallel to the line $𝑥+2𝑦=1$ and the tangents at the points 𝑄 and 𝑅 on the ellipse $\frac{𝑥^2}{ 4} +\frac{𝑦^2}{ 1} =1$ are perpendicular to the line 𝑥−𝑦=2, then the area of the triangle PQR is :

• A. $\frac{3}{2}\sqrt 5$
• B. $5\sqrt 3$
• C. $3\sqrt 5$
• D. $\frac{9}{\sqrt 5}$

Answer 1

Answer: (C)

$3\sqrt 5$

Answer 2

The Correct Option is (C): $3\sqrt 5$