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Friday, 9 October

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 April 2026, Shift 2, Maths Q10

Question 10 of 75 in this shift, Maths question 10 of 25, Section A.

If a straight line drawn through the point of intersection of the lines 4x+3y−1=04x + 3y - 1 = 0 and 3x+4y−1=03x + 4y - 1 = 0, meets the co-ordinate axes at the points P and Q, then the locus of the mid point of PQ is :
  1. (1)x+y−7=0x + y - 7 = 0
  2. (2)x+y−14xy=0x + y - 14xy = 0Official answer
  3. (3)2x+y+14xy=02x + y + 14xy = 0
  4. (4)x+2y−14xy=0x + 2y - 14xy = 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 42 of the 174 JEE Main shifts held from 2017 to 2026.