List of top Mathematics Questions asked in CBSE Class XI

Write the equations for the x and y-axes.

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.

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

Three coins are tossed once. Find the probability of getting
(i) 3 heads  (ii) 2 heads (iii) at least 2 heads 
(iv) at most 2 heads (v) no head (vi) 3 tails 
(vii) exactly two tails (viii) no tail (ix) at most two tails

Expand the expression \((x+ \frac{1}{x})^6\).
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? 
A letter is chosen at random from the word ‘ASSASSINATION’. Find the probability that letter is (i) a vowel (ii) a consonant
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°.
Using Binomial Theorem, evaluate \((96)^3\).
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 \((102)^5\).
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.
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. 
Using Binomial Theorem, evaluate \((101)^4\)
Find the expansion of \((3x^2 – 2ax + 3a^2)^3\) using binomial theorem.
A and B are two events such that \(P(A)=0.54,P(B)=0.69 \text{ and } P(A∩B)=0.35\). Find\((i)P(A∪B)(ii)P(A´∩B´)(iii)P(A∩B´)(iv)P(B∩A´)\)
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 \((99)^5\).

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?

In a lottery, person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game? [Hint: order of the numbers is not important.]
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?
Using Binomial Theorem, indicate which number is larger \((1.1)^{10000}\) or \( 1000.\)
Check whether the following probabilities P(A) and P(B) are consistently defined
(i) P(A) = 0.5, P(B) = 0.7, P(A ∩ B) = 0.6
(ii) P(A) = 0.5, P(B) = 0.4, P(A ∪ B) = 0.8