Q90 / 160 · AP EAMCET 2025 (21 MAY SHIFT 2) · Mathematics

The angle between the tangents drawn from the point $(2,2)$ to the circle $x^2+y^2+4 x+4 y+c=0$ is $\operatorname{Cos}^{-1}\left(\frac{7}{16}\right)$. If two such circles exist, then sum of the values of c is

A
16
B
20
C
-20
Correct answer
D
-16

Hence, the correct answer is option: 'D'.

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