JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 6 April 2024, Shift 1, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

Let

L_1, L_2

be the lines passing through the point

P(0,1)

and touching the parabola

9x^2+12x+18y-14=0

. Let

Q

and

R

be the points on the lines

L_1

and

L_2

such that the

\Delta PQR

is an isosceles triangle with base

QR

. If the slopes of the lines

QR

are

m_1

and

m_2

, then

16\left(m_1^2+m_2^2\right)

is equal to __________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Pair of Tangents (SS1 = T^2)

Same topic in other shifts

All General Conic Section questions

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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 108 of the 174 JEE Main shifts held from 2017 to 2026.