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Tangents are drawn from the point (17, 7...

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.

Text Solution

Verified by Experts

The correct Answer is:
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.
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