Let P and Q be distinct points.. | Maths | JEE Advance 2015

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JEE Advance 2015

Paper-1 2015

Multiple correct answers - Select all that apply

Question

Let $P$ and $Q$ be distinct points on the parabola $y^2=2 x$ such that a circle with $P Q$ as diameter passes through the vertex $O$ of the parabola, If $P$ lies in the first quadrant and the area of the triangle $\triangle O P Q$ is $3 \sqrt{2}$, then which of the following is (are) the coordinates of P ?

Select ALL correct options:

A

$(4,2 \sqrt{2})$

B

$(9,3 \sqrt{2})$

C

$\left(\frac{1}{4}, \frac{1}{\sqrt{2}}\right)$

D

$(1, \sqrt{2})$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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