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Question: Radius of the circle x<sup>2</sup> + y<sup>2</sup> + 2x cos q + 2y sin q – 8 = 0 is –...

Radius of the circle x2 + y2 + 2x cos q + 2y sin q – 8 = 0 is –

A

1

B

3

C

232\sqrt{3}

D

10\sqrt{10}

Answer

3

Explanation

Solution

g = cosq, f = sinq, c = –8

r = g2+f2c\sqrt{g^{2} + f^{2} - c}

= cos2θ+sin2θ+8\sqrt{\cos^{2}\theta + \sin^{2}\theta + 8}

= 3