List of top Mathematics Questions asked in BITSAT

Roots of the equation x²+bx-c=0 (b,c>0) are:
The roots of the equation x⁴-2x³+x=380 are:
A pole stands vertically inside a triangular park ABC. If the angle of elevation of the top of the pole from each corner of the park is the same, then the foot of the pole is at the:
Number of solutions of the equation sin 9θ=sinθ in the interval [0,2π] is:
If msinθ=nsin(θ+2α), then tan(θ+α) is equal to:
The domain of the function f(x)=√x²-[x]², where [x] denotes the greatest integer less than or equal to x, is:
The number of ways in which first, second and third prizes can be given to $5$ competitors is
$\displaystyle\lim_{x\to0} \sqrt{\frac{x-\sin x}{x+\sin^{2}x}} $ is equal to
The coefficient of $x^3$ in the expansion of $\left(x -\frac{1}{x}\right)^{7}$ is :
The value of $\displaystyle\lim_{n \to\infty} \frac{1+2+3+...n}{n^{2}+100}$ is equal to :
If $ \hat{i} + \hat{j}, \hat{j} + \hat{k}, \hat{i} + \hat{k}$ are the position vectors of the vertices of a triangle $ABC$ taken in order, then $\angle A$ is equal to
In how many ways can $12$ gentlemen sit around a round table so that three specified gentlemen are always together?
Eccentricity of ellipse $\frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1 $ if it passes through point $(9, 5)$ and $(12, 4)$ is
If $a, b, c$ are in G.P., then
If $A = \frac{1}{3} \begin{bmatrix}1&2&2\\ 2&1&-2\\ a&2&b\end{bmatrix} $ is an orthogonal matrix, then
Number of solutions of equation $\sin 9 \theta=\sin \theta$ in the interval $[0,2 \pi]$ is
\(\int \frac{e^{x^2}\left(2x+x^{3}\right)}{\left(3+x^{2}\right)^{2}} dx\)  is equal to :
Consider the equation of a parabola $y^2 + 4ax = 0$, where $a > 0$ which of the following is/are correct?
If $x > 0,$ the $ 1 + \frac{\log_{e^{2}}x}{1!} + \frac{\left(\log_{e^{2}}x\right)^{2}}{2!} + ....=$
If the constraints in a linear programming problem are changed then
The sum $1+\frac{1+a}{2!} + \frac{1+a+a^{2}}{3!} + ... \infty $ is equal to
If \(\sum_{k=1}^{n} k(k+1)(k-1) = p n^4 + q n^3 + t n^2 + s n\), where \(p, q, t, s\) are constants, then the value of \(s\) is equal to
The integer just greater than \((3 + \sqrt{5})^{2n}\) is divisible by
The domain of the function
\[ f(x) = \sin^{-1} \!\left( \log_2 \left( \frac{1}{2} x^2 \right) \right) \]
is
If \(A, B, C\) are the angles of a triangle and
\[ e^{iA}, \; e^{iB}, \; e^{iC} \]
are in A.P., then the triangle must be