JEE Main 2026 Mathematics question
Let C be a circle having centre in the first quadrant and touching the x-axis at a distance of 3 units from the origin. If the circle C has an intercept of length 6√3 on y-axis, then the length of the chord of the circle C on the line x−y=3 is:
Answer: (C)
Solution
The centre is (3,r) with radius r. The y-axis intercept is 2√(r²−9)=6√3, so
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