JEE Main 2023 (13 Apr, Shift 1) Maths Q16: Conic Sections

Question

Let PQ be a focal chord of the parabola

y^2=36x

of length 100, making an acute angle with the positive

x

-axis. Let the ordinate of P be positive and M be the point on the line segment PQ such that PM:MQ = 3:1. Then which of the following points does NOT lie on the line passing through M and perpendicular to the line PQ?

(1) $(3,33)$
(2) $(-6,45)$
(3) $(-3,43)$ Official answer
(4) $(6,29)$

Official answer

Option 3

NTA final key.

Accepted Answer

Option 3: $(-3,43)$

Answer

$(3,33)$

Answer

$(-6,45)$

Answer

$(-3,43)$

Answer

$(6,29)$

JEE Main 13 April 2023, Shift 1, Maths Q16

Same idea in other shifts