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Jee Main 2025 — Medium JEE math MCQ

Let a circle \( C \) pass through the points \( (4, 2) \) and \( (0, 2) \), and its centre lie on \( 3x + 2y + 2 = 0 \). Then the length of the chord, of the circle \( C \), whose mid-point is \( (1, 2) \), is
  1. A. \( \sqrt{3} \)
  2. B. \( 2\sqrt{2} \)
  3. C. \( 2\sqrt{3} \)
  4. D. \( 4\sqrt{2} \)

Solution

The correct option is **C**. (C. \( 2\sqrt{3} \))

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let a circle C C pass through the points (4,2) (4, 2) and (0,2) (0, 2) , and its centre lie on 3x+2y+2=0 3x + 2y + 2 = 0 . Then the length of the chord, of the circle C C , whose mid-point is (1,2) (1, 2) , is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep