JEE Advanced 2007 Mathematics question

Tangents are drawn from the point (17, 7) to the circle . STATEMENT-1 : The tangents are mutually perpendicular. because STATEMENT-2 : The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is .

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1Correct
(B)Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
(C)Statement-1 is True, Statement-2 is False
(D)Statement-1 is False, Statement-2 is True

Answer: (A)

Solution

Statement-2: the director circle of (locus of points from which the tangents are perpendicular) is : true. Statement-1: $

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Question ID VK-037458