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If alpha is the angle subtended at P(x(1...

If `alpha` is the angle subtended at `P(x_(1),y_(1))` by the circle `S-=x^(2)+y^(2)+2gx+2fy+c=0` then

A

`cotalpha=(sqrtS_(1))/(sqrt((g^(2)+f^(2)-c)))`

B

`cot""(alpha)/(2)=(sqrtS_(1))/(sqrt((g^(2)+f^(2)-c)))`

C

`tanalpha=(2sqrt((g^(2)+f^(2)-c)))/(sqrtS_(1))`

D

`alpha=2tan^(-1)((sqrt((g^(2)+f^(2)-c)))/(sqrtS_(1)))`

Text Solution

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The correct Answer is:
B, D
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