List of top Mathematics Questions

The solution of differential equation $\frac{dy}{dx}-3y=sin\,2x$ is
The solution of the differential equation xdy + ydx = 0 is:
The solution of the differential equation $xdy + ydx = xydx$ when $y(1) = 1$ is
The slope of the line touching both the parabolas $ y^2 = 4x$ and $x^2 = - 32y$ is
The sixth term in the expansion of $\left[2^{\log _{2} \sqrt{9^{x-1}+7}}+\frac{1}{2^{\frac{1}{5} \log _{2}\left(3^{x-1}+1\right)}}\right]$ is 84. Then the number of values of $x$ is
The sine of the angle between the vectors $\overrightarrow{i}-2\overrightarrow{j}+3\overrightarrow{k}$ and $2\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}$ is
The shortest distance between the lines $\frac{x-5}{4}=\frac{y-7}{-5}=\frac{z+3}{-5}$ and $\frac{x-8}{7}=\frac{y-7}{1}=\frac{z-5}{-3}$
The shortest distance between the lines $\vec{r}=\left(8+3\lambda\right)\hat{i}-\left(9+16\lambda\right)\hat{j}+\left(10+7\lambda\right)\hat{k}$ and $\vec{r}=15\hat{i}+29\hat{j}+5\hat{k}+\mu\left(3\hat{i}-8\hat{j}-5\hat{k}\right)$ is
The set of intelligent students in a class is
The set of real values of x for which $\log_{0.2} \frac{x +2}{x} \leq 1$ is
The second, third and fourth terms in the binomial expansion $(x+a)^n$ are $240$, $720$ and $1080$, respectively. Find $x$, $a$ and $n$ respectively.
The S.D. of the first n natural numbers is
The relation between a, b, a' and b' such that the two lines ax + by = c and a'x + b'y = c' are perpendicular is
The ratio in which the line $3x + 4y + 2 = 0$ divides the distance between the lines $3x + 4y + 5 = 0$ and $3x + 4y - 5 = 0$ is
The proposition $p \Rightarrow \sim (p \wedge \sim q)$ is
The projection of the line segment joining the points (-1, 0, 3) and (2, 5, 1) on the line whose direction ratios are (6, 2, 3) is
The product of first nine terms of a GP is, in general, equal to which one of the following?
The probability that A speaks truth is $\frac{4}{5}$ , while the probability for B is $\frac{3}{4}$. The probability that they contradict each other when asked to speak on a fact is
The probability that a man hits a target is p = 0.1. He fires n = 100 times. The expected number n of times he will hit the target is :
The probability that a two digit number selected at random will be a multiple of ?
The probability that a leap year will have 53 Sundays or 53 Mondays is
The probability that a man A will be alive for 20 more years is $\frac{3}{5}$ and the probability that his wife will be alive for 20 more years is $\frac{2}{3} $, The probability that only one will be alive at the end of 20 years is
The probability of occurrence of an event A is 0.3 and that of occurrence of an event B is 0.4. If A and B are mutually exclusive, then the probability that neither A occurs nor B occurs is:
The probability of having a king and a queen when the two cards are drawn at random from a pack of 52 cards is:
The probability of guessing correctly at least $8$ out of $10$ answers on a true-false type examination is