Let P and Q be two distinct | Circle

JEE MAIN 2021

27-07-21 S1

Question

Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is perpendicular to both the line segments CP and CQ, then the set {P, Q} is equal to

Select the correct option:

$\{(4,0,(0,6)\}$

$\{(2+2 \sqrt{2}, 3-\sqrt{5}),(2-2 \sqrt{2}, 3+\sqrt{5})\}$

$\{(2+2 \sqrt{2}, 3+\sqrt{5}),(2-2 \sqrt{2}, 3-\sqrt{5})\}$

{(–1, 5), (5, 1)}

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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