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MathsJEE Main 8 Apr 2026, Shift 2·Q10·MCQ·Moderate

Straight Lines · Locus of midpoint of intercepts

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 PP and QQ, then the locus of the mid point of PQPQ is:
  1. (1)x+y−7=0x + y - 7 = 0
  2. (2)x+y−14xy=0x + y - 14xy = 0
  3. (3)2x+y+14xy=02x + y + 14xy = 0
  4. (4)x+2y−14xy=0x + 2y - 14xy = 0
We corrected a printing error in the original paper

Source printed “a straight line … meet the co-ordinate axes” (subject-verb agreement).

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See the full 8 Apr 2026, Shift 2 paper