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  • The point(s) on the line , from which tangents drawn to the circle <img alt="\mathrm{x^2+y^2=25}

The point(s) on the line \mathrm{y=4}, from which tangents drawn to the circle \mathrm{x^2+y^2=25} are at a right angle is(are)
 

Option: 1

\mathrm{(2 \sqrt{34}, 4)}


 


Option: 2

\mathrm{(\sqrt{17}, 4)}
 


Option: 3

\mathrm{(-\sqrt{34}, 4)}
 


Option: 4

\mathrm{(-\sqrt{17}, 4)}


Answers (1)

best_answer

The locus of the point from which perpendicular tangents are drawn is \mathrm{x^2+y^2=50}

For \mathrm{y=4, x^2=34 \Rightarrow x= \pm \sqrt{34}}

Hence option 3 is correct.

Posted by

manish

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