The tangent to the parabola y-bx meets the parabola y- 4ax in P and Q then mid point of PQ lies on the curve is

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Position of a Line W.R.T Hyperbola

The tangent t...

Question

The tangent to the parabola y²=-bx meets the parabola y²= 4ax in P and Q then mid point of PQ lies on the curve is

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y^{2} = 4 a x

A B

P (x_{1}, y_{1})

y^{2} = 4 a x

y^{2} = 4 a (x + b)

Q

R,

Q R

P Q

y^{2} = 4 a x .

P

Q

y = 2 x + a,

a > 0.

P Q

P Q

y^{2} = 4 a x

P

Q

y = 2 x + a, a > 0

P Q

P Q

y^{2} = 4 a x .

P

Q

y = 2 x + a,

a > 0.

P Q

θ

y^{2} = 4 a x,

tan θ =

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