Question

The equation of circle of radius $\sqrt{17}$ unit, with centre on the positive side of $x$-axis and through the point $(0,1)$ is
(A) $x^{2}+y^{2}-8 x-1=0$
(B) $x^{2}+y^{2}+8 x-1=0$
(C) $x^{2}+y^{2}-9 y+1=0$
(D) $2 x^{2}+2 y^{2}-3 x+2 y=4$

Answer 1

Ans : (A)
Hint : $A=\left(\frac{a^{2}}{6}+\int_{a / \sqrt{3}}^{a / \sqrt{2}} \sqrt{a^{2}-2 x^{2}} d x\right) \times 2=\frac{a^{2}}{\sqrt{2}} \tan ^{-1}\left(\frac{1}{\sqrt{2}}\right)$

Answer 2

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Answer 3

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