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JEE Advanced2007MathematicsCircleActual

Tangents are drawn from the point (17,7) to the circle x^2+y^2=169 . Statement I The tangents are mutually perpendicular. Statement II The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is x^2+y^2=338

Options

  1. AStatement I is true, Statement II is true; Statement II is a correct explanation for Statement I
  2. BStatement I is true, Statement II is true; Statement II is not a correct explanation for Statement I
  3. CStatement I is true, Statement II is false
  4. DStatement I is false, Statement II is true

Correct answer

A. Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I

Step-by-step solution

Since, the tangents are perpendicular. So, locus of perpendicular tangents to circle x^2+y^2=169 is a director circle having equation x^2+y^2=338 .

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