List of top Mathematics Questions asked in BITSAT

If $\omega$ is the complex cube root of unity, then the value of $\omega+\omega\left(\frac{1}{2}+\frac{3}{8}+\frac{9}{32}+\frac{27}{128}+\ldots \ldots\right)$
The period of $\tan 3\theta$ is
The value of $\frac{3}{4} + \frac{15}{16} +\frac{63}{64} +..... $ upto n terms is
The line which is parallel to X-axis and crosses the curve $y = \sqrt{x}$ at an angle of $45^{\circ}$, is
The position of a projectile launched from the origin at $t=0$ is given by $\hat{r}=\left(40 \hat{i}+50\hat{ j}\right) m$ at $t=2 s$. If the projectile was launched at an angle $\theta$ from the horizontal, then $\theta$ is $\left(\right.$ take $\left. g=10\, ms ^{-2}\right)$
In a $\Delta ABC$, the lengths of the two larger sides are $10$ and $9$ units, respectively. If the angles are in AP, then the length of the third side can be
Minimise $Z=\displaystyle\sum_{j=1}^{n} \displaystyle\sum_{i=1}^{m} c_{i j} \cdot x_{i j}$ Subject to $\displaystyle\sum_{ i =1}^{ m } x _{ ij }= b _{ j }, j =1,2, \ldots \ldots n$ $\displaystyle\sum_{j=1}^{n} x_{i j}=b_{j}, j=1,2, \ldots \ldots, m$ is a LPP with number of constraints
If \(z=x+iy,\; z^{1/3}=a-ib\), then \(\dfrac{x}{a}-\dfrac{y}{b}=k(a^2-b^2)\), where \(k\) is equal to:
The angle of intersection of the two circles $x^2 + y^2 - 2x - 2y = 0$ and $x^2 + y^2 = 4$, is
If \[ \begin{vmatrix} p & q - y & r - z \\ p - x & q & r - z \\ p - x & q - y & r \end{vmatrix} = 0, \] then the value of \(\dfrac{p}{x} + \dfrac{q}{y} + \dfrac{r}{z}\) is
Let \( f:\mathbb{R} \to \mathbb{R} \) be a function defined by \( f(x) = \dfrac{x - m}{x - n} \), where \( m \neq n \). Then
If \(\begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}\) is a square root of identity matrix of order 2, then
Let \[ f(x)= \begin{cases} (x-1)\sin\!\left(\dfrac{1}{x-1}\right), & x \neq 1 \\ 0, & x = 1 \end{cases} \] Then which one of the following is true?
The coefficient of \(x^4\) in the expansion of \((1 + x + x^2 + x^3)^{11}\) is:
If the \((2p)^{\text{th}}\) term of a H.P. is \(q\) and the \((2q)^{\text{th}}\) term is \(p\), then the \(2(p+q)^{\text{th}}\) term is:
\(\displaystyle \lim_{x \to 0} \left(\csc x\right)^{\frac{1}{\log x}}\) is equal to:
Let \( R = \{(3,3), (6,6), (9,9), (12,12), (6,12), (3,9), (3,12), (3,6)\} \) be a relation on the set \( A = \{3,6,9,12\} \). Then, the relation is:
Through the vertex \(O\) of parabola \(y^2=4x\), chords OP and OQ are drawn at right angles to one another. The locus of the midpoint of PQ is
Let \[ f(x)= \begin{cases} \dfrac{1-\sin^3 x}{3\cos^2 x}, & x < \dfrac{\pi}{2} \\ [6pt] p, & x = \dfrac{\pi}{2} \\ [6pt] \dfrac{q(1-\sin x)}{(\pi-2x)^2}, & x > \dfrac{\pi}{2} \end{cases} \] If \(f(x)\) is continuous at \(x=\dfrac{\pi}{2}\), then \((p,q)=\)
A coin is tossed 7 times. Each time a man calls head. Find the probability that he wins the toss on more occasions.
Consider \(\dfrac{x}{2}+\dfrac{y}{4}\ge1\) and \(\dfrac{x}{3}+\dfrac{y}{2}\le1,\; x,y\ge0\). Then number of possible solutions are
The equation of the right bisector plane of the segment joining \((2,3,4)\) and \((6,7,8)\) is
A bag contains \(n+1\) coins. It is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is \(\frac{7}{12}\), then the value of \(n\) is
If \(A=\begin{bmatrix}1 & 1 \\ 1 & 1\end{bmatrix}\), then \(A^{100}\) is
Find the angle between the line \[ \frac{x+1}{2}=\frac{y}{3}=\frac{z-3}{6} \] and the plane \(10x+2y-11z=3\).