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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 28 June 2022, Shift 2, Maths Q13

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

Let a>0a>0, b>0b>0. Let e and ll respectively be the eccentricity and length of the latus rectum of the hyperbola x2a2−y2b2=1\frac{x^2}{a^2}-\frac{y^2}{b^2}=1. Let e' and l′l' respectively be the eccentricity and length of the latus rectum of its conjugate hyperbola. If e2=1114le^2=\frac{11}{14}l and (e′)2=118l′(e')^2=\frac{11}{8}l', then the value of 77a+44b77a+44b is equal to :
  1. (1)100
  2. (2)110
  3. (3)120
  4. (4)130Official answer

Official answer

Option 4

NTA final key.

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