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vish0001 (493)

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A circle with centre (2,-1) have a tangent 3x+y=0.Find the equation of the other tangent which passes through the origion??


assume the circle in the general form
then center is given, substitute values of -g ,-f
then xx1 + yy1 + 2gx + 2fy +c = 0 , represents a tangent at (x1,y1)
but 3x + y =0
compare coefficients.
proceed to get the circles eqn
then find thr reqd, tangent !



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