Question

Tangents are drawn from the point (17, 7) to the circle `x^2+y^2=169`, Statement I The tangents are mutually perpendicular Statement, lls The locus of the points frorn which mutually perpendicular tangents can be drawn to the given circle is `x^2 +y^2=338` (a) Statement I is correct, Statement II is correct; Statement II is a correct explanation for Statementl (b( Statement I is correct, Statement I| is correct Statement II is not a correct explanation for Statementl (c)Statement I is correct, Statement II is incorrect (d) Statement I is incorrect, Statement II is correct
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.

Answer 1

Correct Answer - A
As locus of point of intersection for perpendicular tangents is directors circle.
i.e `x^(2)+y^(2)=2r^(2)`
Hence, (17, 7) lie on directors circle `x^(2)+y^(2)`= 338
`rArr` tangents are perpendicular.