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A: The equation of normal at the point $P (3, 5)$ to the circle $x^{2} + y^{2} - 10 x - 2 y + 6 = 0$ is $2 x + y = 11$
R: The equation of normal at the point $P (x_{1}, y_{1})$ to the circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ is $(x_{1} - g) (y + y_{1}) = (y_{1} - f) (x + x_{1})$

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Both A and R is true and R is not correct explanation to A

A is true and R is false

R is true and A is false

Both A and R is true and R is correct explanation to A

answer is C.

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Detailed Solution

Normal: $(x_{1} + g) (y - y_{1}) = (y_{1} + f) (x - x_{1})$

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