From a point P (x1 , y1 ), tangents PA and PB are drawn to the circle x2 +y2 +2gx +2fy +c = 0
If P' and Q' are mid points of PA and PB respectively, find the equation of P'Q'.
1)finding the equation of AB
2)finding M(the intersection point of AB and OP)
3)finding the mid point of PM
4)finding the equation of P'Q'
every step is a short step.
in the first step, let A be (x,y) and C be centre of OP. AC=CP completes first step
infourth step, slope and a point are known.
answer comes out to be x(x1+g)+y(y1+f)=PA/2
THE ans is Ti - S1/2
it can be find outr by solving for54
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