JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 29 June 2022, Shift 1, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A.

Let the tangent to the circle

C_1: x^2 + y^2 = 2

at the point

M(-1, 1)

intersect the circle

C_2: (x - 3)^2 + (y - 2)^2 = 5

, at two distinct points A and B. If the tangents to

C_2

at the points A and B intersect at N, then the area of the triangle ANB is equal to :

(1) $\frac{1}{2}$
(2) $\frac{2}{3}$
(3) $\frac{1}{6}$ Official answer
(4) $\frac{5}{3}$

Official answer

Option 3

NTA final key (2022 Session 1).

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Area of Tangent-Chord Triangle

Same idea in other shifts

Asked 5× in all

28 Jul 2022, Shift 2 · Q73Let the tangents at two points A and B on the circle $x^2+y^2-4x+3=0$ meet at origin O (0, 0). Then the area of the triangle OAB is :MediumSingle correct
28 Jun 2022, Shift 1 · Q14If the tangents drawn at the points O(0, 0) and P $\left(1+\sqrt{5}, 2\right)$ on the circle $x^2+y^2-2x-4y=0$ intersect at the point Q,…MediumSingle correct
31 Aug 2021, Shift 2 · Q88Let B be the centre of the circle $x^2+y^2-2x+4y+1 = 0$ . Let the tangents at two points P and Q on the circle intersect at the point…HardNumerical value
17 Mar 2021, Shift 2 · Q78Two tangents are drawn from a point P to the circle $x^2+y^2-2x-4y+4=0$ , such that the angle between these tangents is…MediumSingle correct

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.