there are two tangents drwn from point P to parabola Y^2=4AX if m2=2m1 find the locus of point P
saurabh dewedi , 7 Years ago
Grade 12th pass
Analytical Geometry> there are two tangents drwn from point P ...
1 AnswersDevki Nandan Malav
Last Activity: 7 Years ago
Remember the equation of tangent in slope form of standard parabola y2=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
m2h-km+a=0 also given that m2=2m1
Read sum of roots i.e. m1+m2=k/m2 so we get m1=k/3m2 and this is a root of the quadratic so put in quadratic we will get the required locus
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