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Friday, 9 October

JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 24 June 2022, Shift 1, Maths Q23

Question 23 of 90 in this shift, Maths question 23 of 30, Section B.

Let A(3a,a)A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right), a>0a>0, be a fixed point in the xyxy-plane. The image of A in yy-axis be B and the image of B in xx-axis be C. If D(3cos⁡θ,asin⁡θ)D(3\cos\theta, a\sin\theta) is a point in the fourth quadrant such that the maximum area of ΔACD\Delta ACD is 12 square units, then a is equal to ______.

Official answer

8

NTA final key (2022 Session 1).

Chapter
Straight Lines
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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 42 of the 174 JEE Main shifts held from 2017 to 2026.