PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions

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

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