JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 July 2022, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

A point P moves so that the sum of squares of its distances from the points

(1,\ 2)

and

(-2,\ 1)

is 14. Let

f\,(x,\ y) = 0

be the locus of P, which intersects the

x

-axis at the points A, B and the

y

-axis at the points C, D. Then the area of the quadrilateral ACBD is equal to :

(1) $\frac{9}{2}$
(2) $\frac{3\sqrt{17}}{2}$ Official answer
(3) $\frac{3\sqrt{17}}{4}$
(4) $9$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: General Conic Section
Idea tested: Condition for a Circle

Same idea in other shifts

Asked 5× 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.