JEE MATHEMATICS MCQ: HYPERBOLA

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Application +4 | -1

P

and

Q

are two points on the rectangular hyperbola

x y=c^2

such that the abscissa of

P

and

Q

are the roots of the equations

x^2-6 x-16=0

. Equation of the chord joining

P

and

Q

View answer and explanation

Correct option: C

c^2 x-16 y=6 c^2

Option C (

c^2 x-16 y=6 c^2

) is correct because it is the equation of the chord joining P and Q on the rectangular 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