1
BITSAT 2025
MCQ (Single Correct Answer)
+3
-1

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

2
BITSAT 2024
MCQ (Single Correct Answer)
+3
-1
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
3
BITSAT 2021
MCQ (Single Correct Answer)
+3
-1

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

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