The tangents at the points at21-2at1-at22-2at2 on the parabola y2-4ax are at right angles if

Tangent at t_1 is yt_1=x+at^2_1 Tangent at t_2 is yt_2=x+at^2_2 Tangents are at right angles ⇒ t_1t_2= 1 ...

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Parametric Equation of Tangent

The tangents ...

Question

The tangents at the points $(a t_{1}^{2}, 2 a t_{1})$ , $(a t_{2}^{2}), 2 a t_{2})$ on the parabola $y^{2} = 4 a x$ are at right angles if

t_{1} t_{2} = - 1

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t_{1} t_{2} = 1

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t_{1} t_{2} = 2

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t_{1} t_{2} = - 2

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Solution

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Similar questions

(a t_{1}^{2}, 2 a t_{1})

(a t_{2}^{2}), 2 a t_{2})

y^{2} = 4 a x

A B

y^{2} = 4 a x

C

A = (a t_{1}^{2}, 2 a t_{1}), B = (a t_{2}^{2}, 2 a t_{2})

A C : A B = 1 : 3

y^{2} = 4 a x

y^{2} = 4 a x

y^{2} = 4 a x

x^{2} = 4 a y

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