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CGP EDU Academic Team
Published on: August 14, 2026
Let A and B be two distinct points on the parabola y 2 = 4x. If the axis of the parabola touches a circle of radius r having AB as its diameter, then the slope of the line joining A and B can be
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(c,d)A(t 12 , 2t 1 ), B (t 22 , 2t 2 )
centre of circle 
⇒ | t 1 + t 2 | = r , slope of AB =
= ± 

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