Let A and B be two distinct points on the parabola y2=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
A
−1r
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B
1r
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C
2r
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D
−2r
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Solution
The correct options are A2r D−2r Let A=(t21,2t1) and B=(t22,2t2) C= (Centre of circle) =(t21+t222,t1+t2) Slope of line AB=2(t2−t1)t22−t21=2(t1+t2) r=∣(t1+t2)∣ Slope of line AB=±2r.