PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that \[\left( A \cup B \right)' = A' \cap B'\]

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

Find the values of the following trigonometric ratio:

By giving a counter example, show that the following statement is not true.
p : "If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle".

Find the derivative of f (x) = 3x at x = 2 

Find the derivative of f (x) = x² − 2 at x = 10

Find the derivative of f (x) = 99x at x = 100 

Find the derivative of f (x) = cos x at x = 0

Find the derivative of f (x) = tan x at x = 0 

Find the derivative of the following function at the indicated point: 

 sin x at x =\[\frac{\pi}{2}\]

Find the derivative of the following function at the indicated point:

Find the derivative of the following function at the indicated point:

2 cos x at x =\[\frac{\pi}{2}\]