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JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 January 2024, Shift 2, Maths Q15

Question 15 of 90 in this shift, Maths question 15 of 30, Section A.

Let

P

be a point on the hyperbola

H: \frac{x^2}{9} - \frac{y^2}{4} = 1

, in the first quadrant such that the area of triangle formed by

P

and the two foci of

H

is

2\sqrt{13}

. Then, the square of the distance of

P

from the origin is

(1) $18$
(2) $20$
(3) $22$ Official answer
(4) $26$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.