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

Question

For the following questions, choose the correct answer from the codes (a), (b), (c) and (d) defined as follows.

(a) Statement I is true, Statement II is also true;

Statement II is the correct explanation of Statement I.

(b) Statement I is true, Statement II is also true;

Statement II is not the correct explanation of Statement I.

(c) Statement I is true; Statement II is false.

(d) Statement I is false; Statement II is true.

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

Statement I : The tangents are mutually perpendicular.

Because

Statement II : The locus of the points from which a mutually perpendicular tangents can be drawn to the given circle is  x² + y² = 338.

Answer 1

Correct option: (a) Statement I is true, Statement II is also true;

Explanation:

Since, the tangents are perpendicular.

So, locus of perpendicular tangents to circle

 x² + y² = 169 is a director circle having equation

x² + y² = 338