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  • A variable line through meets the curve <img alt="\mathrm{x^2+y^2=2}" src="https://en

A variable line through \mathrm{A(6,8)} meets the curve \mathrm{x^2+y^2=2} at \mathrm{B}  and \mathrm{C} . \mathrm{P} is a point on \mathrm{B C}  such that \mathrm{A B, A P, A C}  are in HP. The minimum distance of the origin from the locus of \mathrm{P}  is
 

Option: 1

1


Option: 2

\frac{1}{2}


Option: 3

\frac{1}{3}


Option: 4

\frac{1}{5}


Answers (1)

best_answer

locus of P is the chord of contact of tangent, from A is \mathrm{3 x+4 y-1=0}
Distance of (0,0) is \frac{1}{5}

Posted by

Divya Prakash Singh

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