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Let a circle be inscribed in the quadrant of a circle of diameter 4 then
Statement-I: The radius of inscribed circle is the positive root of the equation $r^{2} + 4 r - 4 = 0$
Statement-II: Distance between their centers = 2 (radius of circle inscribed)

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Statement-I is true, Statement-II is false.

Statement-I is true, Statement-II is true, statement-II is not the correct explanation of Statement-I

Statement-I is true, Statement-II is true, Statement-II is the correct explanation of Statement-I

Statement-I is false, Statement-II is true.

answer is C.

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Detailed Solution

$C_{1} C_{2} = \sqrt{2} r 2 - r = \sqrt{2} r \Rightarrow r^{2} + 4 r - 4 = 0$

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