JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 30 July 2022, Shift 2, Maths Q86

Question 86 of 90 in this shift, Maths question 26 of 30, Section B.

Let

A\,(0, a+2)

B\,(0, a)

C\,(-2, 0)

and

D\,(2, 0)

be four points and the lines

AD

and

BC

intersect at

P\,(x, y)

. If the locus of

P

is the curve

f\,(x, y) = 0

and the tangent at the point

(4, \gamma)

on this curve is

\frac{x}{\alpha} + \frac{y}{\beta} = 1

, then

\alpha\,(\beta - \gamma)

is equal to_______.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Tangent to General Conic (T=0)

Same idea in other shifts

Asked 6× in all

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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.