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

The mean deviation for n observations \[x_1 , x_2 , . . . , x_n\]  from their mean \[\bar{X} \]  is given by

Let \[x_1 , x_2 , . . . , x_n\]  be n observations and  \[X\]  be their arithmetic mean. The standard deviation is given by

If second, third and sixth terms of an A.P. are consecutive terms of a G.P., write the common ratio of the G.P. 

Write the quadratic equation the arithmetic and geometric means of whose roots are Aand G respectively. 

If a, b, c are in A.P. and x, y, z are in G.P., then the value of x^b − c y^c − a z^a − b is

The first three of four given numbers are in G.P. and their last three are in A.P. with common difference 6. If first and fourth numbers are equal, then the first number is 

If a, b, c are in G.P. and a^1/x = b^1/y = c^1/z, then xyz are in

Solve the following problem.

Obtain a derivative of the following function: x sin x

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are ______.

If A and B are two finite sets, then n(A) + n(B) is equal to ______.

If A is a finite set containing n element, then number of subsets of A is ______.

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively ______.

If A and B are finite sets such that A ⊂ B, then n (A ∪ B) = ______.

Which of the following is not correct?

Find the linear inequalities for which the shaded region in the given figure is the solution set.

State which of the following statement is True or False.

If x < y and b < 0, then `x/"b" < y/"b"`

State which of the following statement is True or False.

If xy > 0, then x > 0 and y < 0

State which of the following statement is True or False.

If xy > 0, then x < 0 and y < 0