Let the point P of the focal chord PQ of the parabola y² = 16x be (1, -4). If the focus of the parabola divides the chord PQ in the ratio m: n, gcd (m, n) = 1, then m² + n² is equal to:

Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q17

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

Let the point

P

of the focal chord

PQ

of the parabola

y^2 = 16x

(1, -4)

. If the focus of the parabola divides the chord

PQ

in the ratio

m : n

\gcd(m, n) = 1

, then

m^2 + n^2

is equal to: