List of top Mathematics Questions asked in CBSE Class XI

Using Binomial Theorem, indicate which number is larger \((1.1)^{10000}\) or \( 1000.\)

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 (i)the digits are repeated? (ii)the repetition of digits is not allowed?

From the employees of a company, \(5\) persons are selected to represent them in the managing committee of the company. Particulars of five persons are as follows: A person is selected at random from this group to act as a spokesperson. What is the probability that the spokesperson will be either male or over \(35\) years?

The vertices of ΔPQR are P (2, 1), Q (-2, 3) and R (4, 5). Find equation of the median through the vertex R.

Using Binomial Theorem, evaluate \((99)^5\).

Using Binomial Theorem, evaluate \((101)^4\)

A and B are two events such that \(P(A)=0.54,P(B)=0.69 \text{ and } P(A∩B)=0.35\). Find\((i)P(A∪B)(ii)P(A´∩B´)(iii)P(A∩B´)(iv)P(B∩A´)\)

Find the expansion of \((3x^2 – 2ax + 3a^2)^3\) using binomial theorem.

Three letters are dictated to three persons and an envelope is addressed to each of them, the letters are inserted into the envelopes at random so that each envelope contains exactly one letter. Find the probability that at least one letter is in its proper envelope.

Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30° with the positive direction of the x-axis.

Using Binomial Theorem, evaluate \((102)^5\).

Find the equation of the line which intersects the x-axis at a distance of 3 units to the left of origin with slope -2.

Using Binomial Theorem, evaluate \((96)^3\).

Find the equation of the line that passes though \((2, 2\sqrt 3)\) and is inclined with the x-axis at an angle of 75°.

Out of \(100\) students, two sections of \(40\) and \(60\) are formed. If you and your friend are among the \(100\) students, what is the probability that (a) you both enter the same sections? (b) you both enter the different sections?

Expand the expression \((x+ \frac{1}{x})^6\).

Find the equation of the line which passes though (0, 0) with slope m.

In a certain lottery, \(10,000\) tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy(a) one ticket (b) two tickets (c) Ten tickets?

Find the equation of the line which passes through the point (-4, 3) with slope \(\frac 12\).

A die is thrown, find the probability of the following events:(i) A prime number will appear,(ii) A number greater than or equal to \(3\) will appear,(iii) A number less than or equal to one will appear,(iv) A number more than \(6\) will appear,(v) A number less than 6 will appear.

If three point (h, 0), (a, b) and (0, k) lie on a line, show that \(\frac ah+ \frac bk=1\).

Write the equations for the x and y-axes.

Consider the given population and year graph. Find the slope of the line AB and using it, find what will be the population in the year 2010?

A die has two faces each with number ‘1’, three faces each with number ‘2’ and one face with number ‘3’. If die is rolled once, determine
(i) P (2) (ii) P (1 or 3) (iii) P (not 3)

Expand the expression \((\frac{x}{3} + \frac{1}{x})^5\).