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MathsJEE Main 28 Jan 2026, Shift 1·Q3·MCQ·Moderate

Circles · Chord farthest from centre

Let y=xy = x be the equation of a chord of the circle C1C_1 (in the closed half-plane x≥0x \ge 0) of diameter 10 passing through the origin. Let C2C_2 be another circle described on the given chord as its diameter. If the equation of the chord of the circle C2C_2, which passes through the point (2,3)(2, 3) and is farthest from the center of C2C_2, is x+ay+b=0x + ay + b = 0, then a−ba - b is equal to:
  1. (1)10
  2. (2)−6-6
  3. (3)−2-2
  4. (4)6

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See the full 28 Jan 2026, Shift 1 paper