JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 29 July 2022, Shift 2, Maths Q28

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

Let

AB

be a chord of length 12 of the circle

(x-2)^2+(y+1)^2=\frac{169}{4}

. If tangents drawn to the circle at points

A

and

B

intersect at the point

P

, then five times the distance of point

P

from chord

AB

is equal to ________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Chord of contact

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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.