JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 26 August 2021, Shift 1, Maths Q73

Question 73 of 90 in this shift, Maths question 13 of 30, Section A.

If a line along a chord of the circle

4x^2+4y^2+120x+675=0

, passes through the point

(-30, 0)

and is tangent to the parabola

y^2=30x

, then the length of this chord is :

(1) $7$
(2) $3\sqrt{5}$ Official answer
(3) $5$
(4) $5\sqrt{3}$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Circle Tangents
Idea tested: Tangent in slope form

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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.