Hyperbola is an important topic in the Mathematics section in BITSAT exam. Practising this topic will increase your score overall and make your conceptual grip on BITSAT exam stronger.
This article gives you a full set of BITSAT PYQs for Hyperbola with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Hyperbola questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Hyperbola with Solutions
1.
The foci of the hyperbola \[ 4x^2 - 9y^2 - 1 = 0 \] are:- \( (\pm \sqrt{13}, 0) \)
- \( \left( \pm \frac{\sqrt{13}}{6}, 0 \right) \)
- \( \left( 0, \pm \frac{\sqrt{3}}{6} \right) \)
- None of these
2.
The slope of the tangent to the hyperbola $2x^2 - 3y^2 = 6$ at $(3, 2)$ is- -1
- 1
- 0
- 2
3.
The distance between the foci of the hyperbola $x^2 - 3y^2 - 4x - 6y -11 = 0$ is- 4
- 6
- 8
- 10
4.
For the hyperbola $\frac{x^{2}}{\cos ^{2} \alpha}-\frac{y^{2}}{\sin ^{2} \alpha}=1$, which of the following remains constant when $\alpha$ varies- Abscissae of vertices
- Abscissae of foci
- Eccentricity
- Directrix
5.
The tangents from a point $(2 \sqrt{2}, 1)$ to the hyperbola $16 x ^{2}-25 y ^{2}=400$ include an angle equal to.- $\pi /2 $
- $\pi /4$
- $\pi$
- $\pi/3$
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