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Form an external point P tangents are drawn to the parabola y^2=4ax find the equation to the locus P when these tangents make an angle theta1 and theta2 with the axis, such that (costheta1)(costheta2) is constant. Form an external point P tangents are drawn to the parabola y^2=4ax find the equation to the locus P when these tangents make an angle theta1 and theta2 with the axis, such that (costheta1)(costheta2) is constant.
Cost12cost22=k2Sect12 sect22=1/k2(1+tant12)(1+tant22)=1/k2(1+m12)(1+m22)=1/k2Afteter multiplication put m1+m2=y/xm1.m2=a/x
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