List of top Mathematics Questions asked in BITSAT

Find the coordinates of the point where the line joining the points $(2, -3, 1)$ and $(3, - 4, - 5)$ cuts the plane $2x + y + z = 7$.

Two dice are thrown together $4$ times. The probability that both dice will show same numbers twice is -

What is the value of n so that the angle between the lines having direction ratios $(1, 1, 1)$ and $(1, -1, n)$ is $60^{\circ}$ ?

The foot of the perpendicular from the point $(7, 14, 5)$ to the plane $2x + 4y - z = 2$ are

Let $x$ and $y$ be two natural numbers such that $xy = 12(x + y)$ and $x \le y$. Then the total number of pairs $(x, y)$ is

$\int\limits^{\pi/2}_{0} \frac{2^{\sin x}}{2^{\sin x} + 2^{\cos x}} dx $ equals

A boy is throwing stones at a target. The probability of hitting the target at any trial is $\frac{1}{2}$ .The probability of hitting the target $5^{th}$ time at the $10^{th}$ throw is :

For the function $f\left(x\right)= \frac{x^{100}}{100} + \frac{x^{99}}{99} + ... \frac{x^{2}}{2} + x + 1 , $ f ' (1) = mf' (0), where m is equal to

The nearest point on the line $3x + 4y = 12$ from the origin is

Let $T(k)$ be the statement $1 + 3 + 5 + ... + (2k - 1)= k^2 +10$ Which of the following is correct?

If $f\left(x\right) = \frac{a^{2} -1}{a^{2} +1} x^{3} -3x +5 $ is a decreasing function of $x$ in $R$, then the set of possible values of a (independent of $x$) is

The value of the determinant $\begin{vmatrix}265&240&219\\ 240&225&198\\ 219&198&181\end{vmatrix}$ is

The number of positive integral solution of $abc = 30$ is

The coefficient of $x^{20}$ in the expansion of $(1 + x^2)^{40} . (x^2 + 2 + \frac{1}{x^2})^{-5}$ is

In how many ways can $5$ prizes be distributed among $4$ boys when every boy can take one or more prizes ?

If $\sin^2 \theta + \sin^2 \phi = 1/2, \cos^2 + \cos^2 \phi = 3/2$, then $\cos^2 (\theta - \phi)$ is equal to

If $a.b = a.c$ and $a \times b = a \times c$, then correct statement is

The area bounded by the curve $y = \sin x$, $x$-axis and the ordinates $x = 0$ and $x = \pi /2$ is

The differential equation whose solution is $Ax^2 + By^2 = 1$ where $A$ and $B$ are arbitrary constants is of

The value of $7 \log\left(\frac{16}{15} \right) +5 \log\left(\frac{25}{24}\right) + 3 \log\left(\frac{81}{80}\right) $ is equla to

A bag contains $3$ white and $5$ black balls. One ball is drawn at random. Then the probability that it is white is:

$\int \frac{\sin 2 x}{\sin ^{4} x+\cos ^{4} x}$ is equal to:

$\int\limits^2_0 |1 -x| dx$ is equal to

If $\frac{ d }{ dx }(\phi( x ))= f ( x )$, then $\int\limits_{1}^{2} f ( x )$ is equal to:

The set $A = \{ x : x \in R, x^2 = 16$ and $2x = 6\}$ equals