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Question

Statement‐I Angle between the tangents drawn from the point P(13,6) to the circle $S colon x to the power of 2 end exponent plus y to the power of 2 end exponent minus 6 x plus 8 y minus 75 equals 0$ is 90.
Statement‐II Point $P$ lies on the director circle of S.

Statement‐I is true, Statement‐II is true ; Statement‐II is correct explanation for Statement‐I.
Statement‐I is true, Statement‐II is true ; Statement‐II is NOT a correct explanation for statement‐I.
Statement‐I is true, Statement‐II is false.
Statement‐I is false, Statement‐II is true.

The correct answer is: Statement‐I is true, Statement‐II is true ; Statement‐II is correct explanation for Statement‐I.

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The common chord of two intersecting circles $C subscript 1 end subscript$ and $C subscript 2 end subscript$ can be seen from their centres at the angles of 90°& 60° respectively If the distance between their centres is equal to $square root of 3 plus 1$ then the radii of $C subscript 1 end subscript$ and $C subscript 2 end subscript$ are‐

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