Science (English Medium) कक्षा ११ - CBSE Question Bank Solutions

The sum of probabilities of two students getting distinction in their final examinations is 1.2

The probability that the home team will win an upcoming football game is 0.77, the probability that it will tie the game is 0.08, and the probability that it will lose the game is ______.

A box contains 10 red marbles, 20 blue marbles and 30 green marbles. 5 marbles are drawn from the box, what is the probability that atleast one will be green?

If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1, 3, 5, and 7, what is the probability of forming a number divisible by 5 when, the repetition of digits is not allowed?

Find the derivative of `x^n  + ax^(n-1) + a^2 x^(n-2) + ...+ a^(n -1) x + a^n` for some fixed real number a.

For some constants a and b, find the derivative of (x – a) (x – b).

For some constants a and b, find the derivative of (ax² + b)².

For some constants a and b, find the derivative of `(x - a)/(x - b)`.

Find the derivative of `(x^n - a^n)/(x -a)` for some constant a.

Find the derivative of cos x from first principle.

Find the derivative of the following function.

sin x cos x 

Find the derivative of the following function:

sec x

Find the derivative of the following function:

5 sec x + 4 cos x

Find the derivative of the following function:

cosec x

Find the derivative of the following function:

3cot x + 5cosec x

Find the derivative of the following function:

5sin x – 6cos x + 7

Find the derivative of the following function:

2tan x – 7sec x

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

(x² + 1) cos x

Find the derivative of the following function (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

(ax² + sin x) (p + q cos x)