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

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

The number of solution in [0, π/2] of the equation \[\cos 3x \tan 5x = \sin 7x\] is 

The general value of x satisfying the equation
\[\sqrt{3} \sin x + \cos x = \sqrt{3}\]

The smallest positive angle which satisfies the equation ​

If \[4 \sin^2 x = 1\], then the values of x are

If \[\cot x - \tan x = \sec x\], then, x is equal to

A value of x satisfying \[\cos x + \sqrt{3} \sin x = 2\] is

In (0, π), the number of solutions of the equation ​ \[\tan x + \tan 2x + \tan 3x = \tan x \tan 2x \tan 3x\] is 

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

If \[e^{\sin x} - e^{- \sin x} - 4 = 0\], then x =

The equation \[3 \cos x + 4 \sin x = 6\] has .... solution.

If \[\sqrt{3} \cos x + \sin x = \sqrt{2}\] , then general value of ​x is

General solution of \[\tan 5 x = \cot 2 x\] is

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

If \[\cos x = - \frac{1}{2}\] and 0 < x < 2\pi, then the solutions are

The number of values of x in the interval [0, 5 π] satisfying the equation \[3 \sin^2 x - 7 \sin x + 2 = 0\] is

In the triangle ABC with vertices A (2, 3), B (4, −1) and C (1, 2), find the equation and the length of the altitude from the vertex A.

Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{a, b, c} _____ {b, c, d}