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Friday, 9 October

JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 September 2020, Shift 1, Maths Q65

Question 65 of 75 in this shift, Maths question 15 of 25.

A line parallel to the straight line 2x−y=02x-y=0 is tangent to the hyperbola x24−y22=1\frac{x^{2}}{4}-\frac{y^{2}}{2}=1 at the point (x1,y1)(x_1, y_1). Then x12+5y12x_1^{2}+5y_1^{2} is equal to :
  1. (1)10
  2. (2)8
  3. (3)6Official answer
  4. (4)5

Official answer

Option 3

NTA final key (Sep 2020).

Chapter
Conic Sections
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.