YESPYQ Start Practice
🛠️ JEE➗ Maths

If the curve \({x}^{2}+2{y}^{2}=2\) intersects the line \(x+y=1\) at two points \(P\) and \(Q\), then the angle subtende…

Q1

If the curve \({x}^{2}+2{y}^{2}=2\) intersects the line \(x+y=1\) at two points \(P\) and \(Q\), then the angle subtended by the line segment \(P Q\) at the origin is:

[JEE Main 2021, 25 Feb (Shift 2)]

a

\(\frac{\pi }{2}-{\tan }^{-1}\left(\frac{1}{4}\right)\)

b

\(\frac{\pi }{2}+{\tan }^{-1}\left(\frac{1}{4}\right)\)

c

\(\frac{\pi }{2}-{\tan }^{-1}\left(\frac{1}{3}\right)\)

d

\(\frac{\pi }{2}+{\tan }^{-1}\left(\frac{1}{3}\right)\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Conic Section, or browse the full JEE question bank.

See all questions on Conic Section →