there are two tangents drwn from point P to parabola Y^2=4AX if m2=2m1 find the locus of point P

Question

Devki Nandan Malav · Answer

Remember the equation of tangent in slope form of standard parabola y 2 =4ax i.e y=mx+a/m Let the locus point is (h,k). Beacuse this point lie on the tangent so it satisfy the equation and we get K=mh+a/m m 2 h-km+a=0 also given that m 2 =2m 1 Read sum of roots i.e. m 1 +m 2 =k/m 2 so we get m 1 =k/3m 2 and this is a root of the quadratic so put in quadratic we will get the required locus

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there are two tangents drwn from point P to parabola Y^2=4AX if m2=2m1 find the locus of point P

there are two tangents drwn from point P to parabola Y^2=4AX if m2=2m1 find the locus of point P

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