List of top Mathematics Questions

A set contains $k$ elements. The power set of this set contains_______ elements.

A set contains (2n + 1) elements. If the number of subsets of this set which contain at most n elements is 4096, then the value of n is

Which of the following are not equivalence relations on I?

The range of the function $f\left(x\right)=\frac{x^{2}-x+1}{x^{2}+x+1}$ where $x \in R$

A sequence containing a finite number of terms is called a...................

A set A has 3 elements and another set B has 6 elements. Then

$A$ rod $AB$ of length $15\, cm$ rests in between two coordinate axes in such a way that the end point $A$ lies on $x$-axis and end point $B$ lies on $y$-axis. A point $P(x, y)$ is taken on the rod in such a way that $AP = 6\, cm$. Find the locus of $P$ of an ellipse.

A right circular cylinder which is open at the top and has a given surface area, will have the greatest volume if its height h and radius r are related by

A relation on the set A = {x : |x| < 3, x $\in$ Z }, where Z is the set of integers is defined by R = {(x, y) : y = |x|, x $\neq$ - 1}. Then the number of elements in the power set of R is:

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then $CP^2 + CQ^2 + CR^2 + CS^2 =$

A purse contains 4 copper coins and 3 silver coins, the second purse contains 6 copper coins and 2 silver coins. A coin is taken out from any purse. The probability that it is a copper coin is

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is $\frac{1}{2}, \frac{1}{3}$ and $\frac{1}{4}$. Probability that the problem is solved is

$A$ point $R$ with $x$-coordinate $4$ lies on the line segment joining the points $P(2, -3,4)$ and $Q(8,0,10)$. Find the coordinates of the point $R$.

A plane meets the coordinate axes in points A, B, C and the centroid of the triangle ABC is $(\alpha, \beta, \gamma)$ . The equation of the plane is

$A$ plane is parallel to $yz$-plane so it is perpendicular to

A person has $2$ parents, $4$ grandparents, $8$ great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.

A particular solution of the equation $\log\frac{dy}{dx}=3x+4y,y(0)=0$ is

A particle moves along the curve $6y = x^3 + 2$. The point $?P?$ on the curve at which the y-coordinate is changing 8 times as fast as the x-coordinate, are $(4, 11)$ and $\left(-4, -\frac{31}{3}\right).$

A body weighing $13\, kg$ is suspended by two strings 5 m and $12 \,m$ long, their other ends being fastened to the extremities of a rod $13\, m$ long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are

A pair of dice is rolled. If the outcome is a doublet, a coin is tossed. Then, the total number of outcomes for this experiment is

A natural number x is chosen at random from the first 100 natural numbers. Then the probability, for the equation $x+\frac{100}{x} > 50$ to be true is

A measure of dispersion is indicative of the reliability of

The value of $\left(A\cup B \cup C\right) \cap \left(A \cap B^{c} \cap C^{c}\right)^{c} \cap C^{c} $ , is

The number of elements in the set {$(a, b) : 2a^2 + 3b^2 = 35, a, b \in Z$}, where Z is the set of all integers, is

Let A, B, C be finite sets. Suppose that $n (A) = 10, n (B) = 15, n (C) = 20, n (A\cap B) = 8$ and $n (B\cap C) = 9$. Then the possible value of $n (A\cup B \cup C)$ is