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…

If the curve x2+2y2=2 intersects the line x+y=1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is
  1. π2-tan-113
  2. π2+tan-113
  3. π2+tan-114
  4. π2-tan-114

Solution

Homogenising

x2+2y2-2x+y2=0

⇒-x2-4xy=0⇒x2+4xy=0

Lines are x=0 and y=-x4

∴ Angle between lines =π2+tan-114

option 3

Asked in: JEE Main 2021 (25 Feb Shift 2)

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