33Easy hai...
that means the points (xi,yi) and(0,0) are intersection of circle and hyperbola..
take circle's eqn as x2+y2+2gx+2fy=0
Put y=c2/x
and sum and products of roots type ka karo kuch...
Same problem as priyam......couldnt resist using latex
3 tangents are drawn to hyperbola xy=c^{2} at the points (x_{i},y_{i}):i=1,2,3....
and form a triangle whose circumcircle passes through centre of hyperbola.Show that \frac{\sum{x_{1}}}{x_{1}x_{2}x_{3}}+\frac{\sum{y_{1}}}{y_{1}y_{2}y_{3}}=0
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3 Answers
33
24main bhi kar chuka hoon yaar............latex use kar raha thaa.......[3][3]