iCON Education - Hyperbola BITSAT Test

Question 1: Palette 1/3

BITSAT 2025 MCQ

The locus of the mid-point of the chords of the circle $x^2+y^2=16$ which are tangents to the hyperbola $9 x^2-16 y^2=144$ is $\left(x^2+y^2\right)^2=k x^2-l y^2$. Then, the sum of values of $k$ and $l$ is

A

25

B

16

C

9

D

7

Question 2: Palette 2/3

BITSAT 2024 MCQ

The foci of hyperbola $ 4 x^{2}-9 y^{2}-1=0 $ are

A

$ ( \pm \sqrt{13}, 0) $

B

$ \left( \pm \frac{\sqrt{13}}{6}, 0\right) $

C

$ \left(0, \pm \frac{\sqrt{3}}{6}\right) $

D

None of these

Question 3: Palette 3/3

BITSAT 2021 MCQ

If x = 9 is the chord of contact of the hyperbola x² $-$ y² = 9, then the equation of the corresponding pair of tangent is

A

9x² $-$ 8y² + 18x $-$ 9 = 0

B

9x² $-$ 8y² $-$ 18x + 9 = 0

C

9x² $-$ 8y² $-$ 18x $-$ 9 = 0

D

9x² $-$ 8y² + 18x + 9 = 0