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Chord with a Given Mid Point : Hyperbola

The y -inte...

Question

The $y -$ intercepts of the common tangent to the parabola $y^{2} = 32 x$ and $x^{2} = 108 y$ is

A

- 18

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B

- 12

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C

- 9

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D

- 6

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Solution

The correct option is B $- 12$
$2 x$ + $3 y$ + 36 = 0
For y intercept $x = 0$ then
$y = - 12$

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Similar questions

Q. The y-intercept of the common tangent to the parabola

y^{2} = 32 x

x^{2} = 108 y

Q. I. Common tangent to the parabolas

y^{2} = 32 x

x^{2} = 108 y

2 x + 3 y + 36 = 0

II: Common tangent to the parabolas

y^{2} = 32 x

x^{2} = - 108 y

2 x - 3 y + 36 = 0

Which of the above statements is correct?

Q. The equation of the common tangent to the parabolas

y^{2} = 32 x

x^{2} = 108 y

Q. Find the equation of common tangents to the two parabolas

y^{2} = 32 x

x^{2} = 108 y

Q. The equation of the common tangent of the parabolas

y^{2} = 32 x

x^{2} = 108 y

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Chord with a Given Mid Point : Hyperbola

Standard XII Mathematics

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