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amitsubodh (2)

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If from any point P on the circle x2+y2+2gx+2fy+c =0
tangents are drawn to the circle
then the angle between the tangents is
a) @
b) 2@
c) @/2
d) none of these
    
tarinbansal (3847)

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Answer must be (d).

Let the radius of first circle be R
Then the radius of second circle is coming out to be Rsin@.

Now 0Case 1- when both circles are same, then the angle between tangents at a point will be 180.
Case 2- when the second cirlce is inside the first, no tangent can be drawn from outer circle to inner.

Hence the answer is (d).
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tarinbansal (3847)

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I have checked it.
I am still getting the radius of second circle as Rsin@.
Now as 0
Now they are concentric cirlces and we will have to apply the 2 cases as mentioned above by me.
I am still getting the same answer.

Please correct me if I am wrong.

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