Science (English Medium) Class 11 - CBSE Question Bank Solutions for Mathematics

Solve the following equation:
\[2^{\sin^2 x} + 2^{\cos^2 x} = 2\sqrt{2}\]

If secx cos5x + 1 = 0, where \[0 < x \leq \frac{\pi}{2}\], find the value of x.

Write the number of solutions of the equation tan x + sec x = 2 cos x in the interval [0, 2π].

Write the number of solutions of the equation
\[4 \sin x - 3 \cos x = 7\]

Write the set of values of a for which the equation

Write the number of points of intersection of the curves

Write the values of x in [0, π] for which \[\sin 2x, \frac{1}{2}\]

Write the number of points of intersection of the curves

Write the solution set of the equation 

Write the number of values of x in [0, 2π] that satisfy the equation \[\sin x - \cos x = \frac{1}{4}\].

If \[3\tan\left( x - 15^\circ \right) = \tan\left( x + 15^\circ \right)\] \[0 < x < 90^\circ\], find θ.

If \[2 \sin^2 x = 3\cos x\]. where \[0 \leq x \leq 2\pi\], then find the value of x.

The smallest value of x satisfying the equation

If \[\cos x + \sqrt{3} \sin x = 2,\text{ then }x =\]

If \[\tan px - \tan qx = 0\], then the values of θ form a series in

If a is any real number, the number of roots of \[\cot x - \tan x = a\] in the first quadrant is (are).

The general solution of the equation \[7 \cos^2 x + 3 \sin^2 x = 4\] is

A solution of the equation \[\cos^2 x + \sin x + 1 = 0\], lies in the interval