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A variable parabola {y}^{{{2}}}={4}{a}{x},{a} (where {a}-{{{1}

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A variable parabola $y^{2} = 4 a x, a$ (where $a \neq = - \frac{1}{4})$ being the parameter, meets the curve $y^{2} + x - 2 = 0$ at two points. The locus of the point of intersecion of tangents at these points is

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A variable parabola

y^{2} = 4 a x, a

(where

a \neq = - \frac{1}{4})

being the parameter, meets the curve

y^{2} + x - 2 = 0

at two points. The locus of the point of intersecion of tangents at these points is

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Question Text

A variable parabola

y^{2} = 4 a x, a

(where

a \neq = - \frac{1}{4})

being the parameter, meets the curve

y^{2} + x - 2 = 0

at two points. The locus of the point of intersecion of tangents at these points is

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