Circle 3 Question 12

12. 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.

(2007,3M)

(a) Statement I is true, Statement II is true; Statement II is correct explanation of Statement I

(b) Statement I is true, Statement II is true, Statement II is not correct explanation of Statement I.

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

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

Passage Based Problems

Passage 1

A tangent PT is drawn to the circle x2+y2=4 at the point P(3,1). A straight line L, perpendicular to PT is a tangent to the circle (x3)2+y2=1.

(2012)

Show Answer

Answer:

Correct Answer: 12. (a)

Solution:

  1. As locus of point of intersection for perpendicular tangents is directors circle.

 i.e. x2+y2=2r2

Here, (17,7) lie on directors circle x2+y2=338

Tangents are perpendicular.



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