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Friday, 9 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 13 April 2023, Shift 2, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

Let (α,β)(\alpha,\beta) be the centroid of the triangle formed by the lines 15x−y=8215x-y=82, 6x−5y=−46x-5y=-4 and 9x+4y=179x+4y=17. Then α+2β\alpha+2\beta and 2α−β2\alpha-\beta are the roots of the equation
  1. (1)x2−14x+48=0x^2-14x+48=0
  2. (2)x2−10x+25=0x^2-10x+25=0
  3. (3)x2−7x+12=0x^2-7x+12=0
  4. (4)x2−13x+42=0x^2-13x+42=0Official answer

Official answer

Option 4

NTA final key.

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.