Angle Between a Line and a Plane 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 Angle Between a Line and a Plane with explanations for effective preparation. Practice of BITSAT Mathematics PYQs including Angle Between a Line and a Plane questions regularly will improve accuracy, speed, and confidence in the BITSAT 2026 exam.
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BITSAT PYQs for Angle Between a Line and a Plane with Solutions
1.
If in a \( \triangle ABC \), \( 2b^2 = a^2 + c^2 \), then
\[ \frac{\sin 3B}{\sin B} { is equal to:} \]- \( \frac{c^2 - a^2}{2ca} \)
- \( \frac{c^2 - a^2}{ca} \)
- \( \frac{(c^2 - a^2)^2}{(ca)^2} \)
- \( \left( \frac{c^2 - a^2}{2ca} \right)^2 \)
2.
If the straight line \( y = mx + c \) touches the parabola \( y^2 - 4ax + 4a^3 = 0 \), then \( c \) is:- \( am + \frac{a}{m} \)
- \( am - \frac{a}{m} \)
- \( \frac{a}{m} + a^2m \)
- \( \frac{a}{m} - a^2m \)
3.
The area enclosed by the curves \( y = \sin x + \cos x \) { and } \( y = | \cos x - \sin x | \) { over the interval} \( \left[ 0, \frac{\pi}{2} \right] \) { is:}- \( 4(\sqrt{2} - 1) \)
- \( 2\sqrt{2}(\sqrt{2} - 1) \)
- \( 2(\sqrt{2} + 1) \)
- \( 2\sqrt{2}(\sqrt{2} + 1) \)
4.
Let \( a_1, a_2, a_3, \dots \) be a harmonic progression with \( a_1 = 5 \) and \( a_{20} = 25 \). The least positive integer \( n \) for which \( a_n<0 \) is:- 22
- 23
- 24
- 25
5.
If \[ g(x) = x^2 + x - 2 \] and \[ \frac{1}{2} g \circ f(x) = 2x^2 - 5x + 2, \] then \( f(x) \) is equal to:- \( 2x - 3 \)
- \( 2x + 3 \)
- \( 2x^2 + 3x + 1 \)
- \( 2x^2 - 3x + 1 \)
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