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Normals are drawn to the parabola y^(2)=4x from any point on the line y=2, then vertices of the triangle formed by corresponding tangents lie on a fixed rectangular hyperbola xy=-c^(2) then c^(2) is ________ |
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Answer» LET any POINT on `y=2` is `(h,2)` If normal passes through `(h,2)` `2+ht-2t-t^(3)=0` `t^(3)-t(h-2)-2=0` `t_(1),t_(2)` and `t_(3)` are points of this equation vertices lies on `xy=-2` |
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