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Question

The product of slope of tangents from point (0,1) to circle x2+y22x+4y=0 is:

A
1
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B
1
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C
2
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D
2
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Solution

The correct option is A 1
Equation of circle is
(x1)2+(y+2)2=5
angle between the tangent from point (0,1) is
=tan1(2LrL2r2)
L=S1=5=r
angle between the tangent from point (0,1) is π2
Hence product of their slopes will be 1

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