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please answerA common tangent drawn to a circle x2+y2=c2 and a parabola y2=4ax.If the angle which this tangent makes with twe x axis is pi/4 then the relationship between c and a is?
Let assume the eqn of tangent is y = mx + a/mtangent makes 45 deg with x axis hence slope will be 1 => m =1henceeqn of tangent is y = x + aand this line tangent to circle also so perpendicular distance from center to tangent equals radiusSo,a/root2 = chence 2c^2 = a^2Thank You!
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