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.

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Dilli PRASAD · Answer

Cost 1 2 cost 2 2 =k 2 Sect 1 2 sect 2 2 =1/k 2 (1+tant 1 2 )(1+tant 2 2 )=1/k 2 (1+m 1 2 )(1+m 2 2 )=1/k 2 Afteter multiplication put m 1 +m 2 =y/x m 1 .m 2 =a/x

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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.

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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.

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