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

Circles · Length of chord of circle

Let a circle pass through the origin and its centre be the point of intersection of two mutually perpendicular lines x+(k−1)y+3=0x + (k-1)y + 3 = 0 and 2x+k2y−4=02x + k^2y - 4 = 0. If the line x−y+2=0x - y + 2 = 0 intersects the circle at the points AA and BB, then (AB)2(AB)^2 is equal to:
  1. (1)10
  2. (2)27
  3. (3)18
  4. (4)34

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