List of top Mathematics Questions

The value of the integral \(\int_{0}^{\pi} \frac{\cos x}{1 + \sin^{2} x} \, dx\) is

If $x^{22}$ is in the $(r + 1)^{\text{th}}$ term of the binomial expansion of $(3x^3 - x^2)^9$, then the value of $r$ is equal to

A set contains 9 elements. Then the number of subsets of the set which contains at most 4 elements is:

The foci of a hyperbola are (8,3) and (0,3) and eccentricity is $4/3$. Then the length of the transverse axis is:

The end-points of a diameter of a circle are (−1,4) and (5,4). Then the equation of the circle is

Find mean and mode of the following frequency distribution :

The equation of perpendicular bisector of the line segment joining the points (10, 0) and (0, -4) is

If $a y = x + b$ is the equation of the line passing through the points (-5, -2) and (4, 7), then the value of $2a + b$ is equal to:

Given \( a_1 + a_2 + a_3 + a_4 = 960 \) and \( a_4 - 8a = a_1 \), find \( a_1 \).

PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

If \(2\tan A = 3\), then value of \(\sec A\) equals

In how many ways 11 identical toys be placed in 3 distinct boxes such that no box is empty?

In how many ways can 8 identical pens be distributed among Aal, Bal, and Cal so that Aal gets at least 1 pen, Bal gets at least 2 pens, and Cal gets at least 3 pens?

In how many ways 5 identical envelopes be placed among 3 distinct boxes such that any number of envelopes can be placed in any box.

Find the number of natural number solutions to \(a + b + c = 8\)

Find the number of whole number solutions to \(a + b + c = 8\)

The number of ways by which 6 distinct balls can be put in 5 distinct boxes are

In how many ways can 8 different chocolates be distributed among 5 children such that each can get any number of chocolates (including zero)?

How many different words can be formed using all the letters of the word TUESDAY such that no two vowels are together?

In how many ways can the word 'ESPECIALLY' be arranged such that the vowels always come together?

How many words can be formed using all the letters of the word TUESDAY such that all the vowels are together?

The number of words that can be formed by using all the letters of the word 'MISSISSIPPI' is

In how many ways can the letters of the word 'PEANUT' be arranged?

The number of rectangles in a 6 $\times$ 6 grid is ______.

There are 4 horizontal and 4 vertical lines on a board. What is the maximum number of rectangles that can be formed?