Circles2 questions2 PYQ

Circles — JEE Maths Practice Questions & Solutions

2 questions on Circles with full step-by-step solutions, including past-year (PYQ) problems. Free to practice.

mediumPYQ · JEE Main 2026
Suppose the two chords, drawn from the point (1,2)(1,2) on the circle x2+y2+x−3y=0x^2+y^2+x-3y=0, are bisected by the yy-axis. If the other ends of these chords are RR and SS, and the mid point of the line segment RSRS is (α,β)(\alpha,\beta), then 6(α+β)6(\alpha+\beta) is equal to
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mediumPYQ · JEE Main 2026
Let a circle CC have its centre in the first quadrant, intersect the coordinate axes at exactly three points, and cut off equal intercepts from the coordinate axes. If the length of the chord of CC on the line x+y=1x+y=1 is 14\sqrt{14}, then the square of the radius of CC is
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