Tangents are drawn from the point (17,7) to the circle x2+y2=169 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 x2+y2=338.

Question

Tangents are drawn from the point (17,7) to the circle x2+y2=169 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 x2+y2=338. (A) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1 (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

Tardigrade Admin · Accepted Answer

The given circle is x2+y2=169 The equation of its director circle is x2+y2=338 Since point (17,7) satisfy the equation of director circle, the tangents, which are drawn from the point (17,7) are mutually perpendicular and the locus of the perpendicular tangents is the director circle. Hence, both statements are true and Statement-2 explains Statement- 1 .

Q. Tangents are drawn from the point (17,7) to the circle x2+y2=169 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 x2+y2=338.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1

Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

Statement- 1 is True, Statement- 2 is False

Statement-1 is False, Statement-2 is True

Q. Tangents are drawn from the point $(17, 7)$ to the circle $x^{2} + y^{2} = 169$
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 $x^{2} + y^{2} = 338$ .