List of top Mathematics Questions on Angle between a Line and a Plane asked in BITSAT

If the straight line \( y = mx + c \) touches the parabola \( y^2 - 4ax + 4a^3 = 0 \), then \( c \) is:
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:
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:
If in a \( \triangle ABC \), \( 2b^2 = a^2 + c^2 \), then
\[ \frac{\sin 3B}{\sin B} { is equal to:} \]
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:}
Find the angle between the line \[ \frac{x+1}{2}=\frac{y}{3}=\frac{z-3}{6} \] and the plane \(10x+2y-11z=3\).