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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