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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 August 2021, Shift 1, Maths Q67

Question 67 of 90 in this shift, Maths question 7 of 30, Section A.

Let A be a fixed point (0,6)(0, 6) and B be a moving point (2t,0)(2t, 0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the yy-axis at C. The locus of the mid-point P of MC is :
  1. (1)2x2−3y+9=02x^2-3y+9=0
  2. (2)2x2+3y−9=02x^2+3y-9=0Official answer
  3. (3)3x2−2y−6=03x^2-2y-6=0
  4. (4)3x2+2y−6=03x^2+2y-6=0

Official answer

Option 2

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