JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 31 August 2021, Shift 2, Maths Q88

Question 88 of 90 in this shift, Maths question 28 of 30, Section B.

Let 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

\mathrm{A}(3, 1)

. Then

8\cdot\left(\frac{\text{area }\Delta\mathrm{APQ}}{\text{area }\Delta\mathrm{BPQ}}\right)

is equal to ______________.

Official answer

NTA final key.

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
29 Jun 2022, Shift 1 · Q19Let 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…HardSingle correct
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.