JEE MATHEMATICS MCQ: HYPERBOLA

1 Easy

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Application +4 | -1

A hyperbola whose transverse axis is along the major axis of the conic

\frac{x^2}{3}+\frac{y^2}{4}=4

and has vertices at the foci of the conic. If the eccentricity of the hyperbola is

3 / 2

, then which of the following points does not lie on it?

View answer and explanation

Correct option: B

(5,2 \sqrt{3})

Option B

(5,2 \sqrt{{3}})

is correct because when substituted into the hyperbola equation, it does not satisfy the equation, indicating it does not lie on the hyperbola.

More Questions from HYPERBOLA

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\phi

\frac{\pi}{2}-\phi

\frac{x^2}{a^2}-\frac{y^2}{b^2}=1

P\left(x_{0}, y_{0}\right)

3 x^{2}-4 y^{2}

=36

3 x+2 y=1

\sqrt{2}\left(y_{0}-x_{0}\right)

x

(2,2)

\frac{1}{2}

9 x^2-16 y^2+72 x-32 y-16=0

H: \frac{x^2}{a^2}-\frac{y^2}{b^2}=1

(2 \sqrt{2},-2 \sqrt{2})

H

H

e

H

e

\mathrm{H}

\left( {1, - 1} \right),

x - y + 1 = 0

\sqrt 2