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Question

Angle between tangents drawn to x2+y22x4y+1=0 at the points where it is cut by the line y=2x+c,isπ2 then

A
|c|=5
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B
|c|=25
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C
|c|=10
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D
|c|=210
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Solution

The correct option is C |c|=10
x2+y2204y+1=0y=20+c
Radius of the circle = 2
perpendicular distance of line y = 20 + c from the centre of the circle, d=c5
cos θ=dr,(θ=π4)c25=12c=10


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