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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 August 2021, Shift 2, Maths Q73

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

If the area of the triangle formed by the tangent at a point in the first quadrant on the ellipse, 4x2+3y2=124x^2+3y^2=12 and its axes is 4 sq. units, then one such point is
  1. (1)(1,83)\left(1,\sqrt{\frac{8}{3}}\right)
  2. (2)(32,1)\left(\frac{3}{2},1\right)Official answer
  3. (3)(12,113)\left(\frac{1}{2},\sqrt{\frac{11}{3}}\right)
  4. (4)(32,2)\left(\sqrt{\frac{3}{2}},\sqrt{2}\right)

Official answer

Option 2

NTA final key.

Chapter
Conic Sections
Topic
Tangents and Normals
Idea tested
Intercepts of Tangent and Normal

Same idea in other shifts

Asked 3× in all
  1. 10 Apr 2023, Shift 2 · Q25Let the quadratic curve passing through the point (−1,0)(-1, 0) and touching the line y=xy = x at (1,1)(1, 1) be y=f(x)y = f(x). Then the…MediumNumerical value
  2. 3 Sep 2020, Shift 2 · Q74If the tangent to the curve, y=exy = e^x at a point (c,ec)(c, e^c) and the normal to the parabola, y2=4xy^2 = 4x at the point (1,2)(1, 2) intersect at…MediumNumerical value

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.