Arts (English Medium) इयत्ता ११ - CBSE Question Bank Solutions for Mathematics

Find the derivative of x² cosx.

Find the derivative of f(x) = tan(ax + b), by first principle.

(ax² + cot x)(p + q cos x)

`(a + b sin x)/(c + d cos x)`

Let f(x) = x – [x]; ∈ R, then f'`(1/2)` is ______.

The frequency distribution:

where A is a positive integer, has a variance of 160. Determine the value of A.

For the frequency distribution:

Find the standard deviation.

There are 60 students in a class. The following is the frequency distribution of the marks obtained by the students in a test.

where x is a positive integer. Determine the mean and standard deviation of the marks.

The weights of coffee in 70 jars is shown in the following table:

Determine variance and standard deviation of the above distribution.

Following are the marks obtained, out of 100, by two students Ravi and Hashina in 10 tests.

Who is more intelligent and who is more consistent?

An urn contains twenty white slips of paper numbered from 1 through 20, ten red slips of paper numbered from 1 through 10, forty yellow slips of paper numbered from 1 through 40, and ten blue slips of paper numbered from 1 through 10. If these 80 slips of paper are thoroughly shuffled so that each slip has the same probability of being drawn. Find the probabilities of drawing a slip of paper that is blue or white

An urn contains twenty white slips of paper numbered from 1 through 20, ten red slips of paper numbered from 1 through 10, forty yellow slips of paper numbered from 1 through 40, and ten blue slips of paper numbered from 1 through 10. If these 80 slips of paper are thoroughly shuffled so that each slip has the same probability of being drawn. Find the probabilities of drawing a slip of paper that is numbered 1, 2, 3, 4 or 5

An urn contains twenty white slips of paper numbered from 1 through 20, ten red slips of paper numbered from 1 through 10, forty yellow slips of paper numbered from 1 through 40, and ten blue slips of paper numbered from 1 through 10. If these 80 slips of paper are thoroughly shuffled so that each slip has the same probability of being drawn. Find the probabilities of drawing a slip of paper that is red or yellow and numbered 1, 2, 3 or 4

An urn contains twenty white slips of paper numbered from 1 through 20, ten red slips of paper numbered from 1 through 10, forty yellow slips of paper numbered from 1 through 40, and ten blue slips of paper numbered from 1 through 10. If these 80 slips of paper are thoroughly shuffled so that each slip has the same probability of being drawn. Find the probabilities of drawing a slip of paper that is numbered 5, 15, 25, or 35

An urn contains twenty white slips of paper numbered from 1 through 20, ten red slips of paper numbered from 1 through 10, forty yellow slips of paper numbered from 1 through 40, and ten blue slips of paper numbered from 1 through 10. If these 80 slips of paper are thoroughly shuffled so that each slip has the same probability of being drawn. Find the probabilities of drawing a slip of paper that is white and numbered higher than 12 or yellow and numbered higher than 26.

In a leap year the probability of having 53 Sundays or 53 Mondays is ______.

Three-digit numbers are formed using the digits 0, 2, 4, 6, 8. A number is chosen at random out of these numbers. What is the probability that this number has the same digits?

Three squares of chessboard are selected at random. The probability of getting 2 squares of one colour and other of a different colour is ______.

One mapping (function) is selected at random from all the mappings of the set A = {1, 2, 3, ..., n} into itself. The probability that the mapping selected is one to one is ______.

If the letters of the word ALGORITHM are arranged at random in a row what is the probability the letters GOR must remain together as a unit?