JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 26 July 2022, Shift 2, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

The acute angle between the pair of tangents drawn to the ellipse

2x^2+3y^2=5

from the point

(1,3)

(1) $\tan^{-1}\left(\frac{16}{7\sqrt{5}}\right)$
(2) $\tan^{-1}\left(\frac{24}{7\sqrt{5}}\right)$ Official answer
(3) $\tan^{-1}\left(\frac{32}{7\sqrt{5}}\right)$
(4) $\tan^{-1}\left(\frac{3+8\sqrt{5}}{35}\right)$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Pair of Straight Lines
Idea tested: Combined Equation of Tangents (SS1=T^2)

Same topic in other shifts

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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.