List of top Mathematics Questions asked in BITSAT

The probability that the same number appear on throwing three dice simultaneously, is
Let A be an orthogonal non-singular matrix of order $n$, then the determinant of matrix $AI _{ n }$ ie, $\left| A - I _{ n }\right|$ is equal to
If a=\(\log _{2} 3, b=\log _{2} 5, c=\log _{7} 2,\) then \(\log _{140} 63\) in terms of a, b, c is
Area of the region satisfying $x \leq 2, y \leq|x|, x-$ axis and $x \geq 0$ is:
For the hyperbola $\frac{x^{2}}{\cos ^{2} \alpha}-\frac{y^{2}}{\sin ^{2} \alpha}=1$, which of the following remains constant when $\alpha$ varies
If one root of the quadratic equation $a x^{2}+b x+c=0$ is equal to $n^{\text {th }}$ power of the other root, then the value of: $a^{\frac{n}{n-1}} C^{\frac{1}{n-1}}+c^{\frac{n}{n-1}} a^{\frac{1}{n-1}}$ is equal to
If $\sin^{-1} \, x + \sin^{-1} \, y = \frac{\pi}{2},$ then $\frac{dy}{dx} $ is equal to
For all complex numbers $z _{1}, z _{2}$ satisfying $\left| z _{1}\right|=12$ and $\left| z _{2}-(3+4 i )\right|=5$, the minimum value of $\left|z_{1}-z_{2}\right|$ is
The minimum value of $2x + 3y,$ when $xy = 6,$ is
The length of the common chord of the ellipse $\frac{(x+1)^{2}}{9}+\frac{(y-2)^{2}}{4}=1$ and the circle $x-1^{2}+y-2^{2}=1$ is
In how many ways can $5$ boys and $5$ girls sit in a circle so that no two boys sit together?
If $(\cos \theta+i \sin \theta)(\cos 2 \theta+i \sin 2 \theta) \ldots . .(\cos n \theta+i \sin n \theta)=1$, then the value of $\theta$ is, $m \in N$
$(x -1) (x^2 - 5x + 7) < (x -,1),$ then $x$ belongs to
In a $\triangle A B C$ if the sides are $a=3, b=5$ and $c=4$, then $\sin \frac{B}{2}+\cos \frac{B}{2}$ is equal to :
The radius of the circle $x^2+Y^2+4x+6y+13=0$ is
The center of the circle $x = 2 + 3 \cos \theta ,y=3\, \sin \theta -1$ is
The solutions of the equation $ \begin{vmatrix} x & 2& -1 \\[0.3em] 2 & 5 & x \\[0.3em] -1 & 2& x \end{vmatrix}=0$ are
The area bounded by the parabola $y^2 = 4ax$ and the line $x = a$ and $x = 4a$ is
The ends of the latus rectum of the conic \(x^ 2 + 10x - 16y + 25 = 0\) are
The distance between the pair of parallel lines $ x^2 + 2xy + y^2 - 8ax - 8ay - 9a^2 = 0$ is :
$(0, - 1)$ and $(0, 3)$ are two opposite vertices of a square. The other two vertices are :
$\int\limits_{0}^{\pi /4} \log (1 + \tan \, x ) dx$ is equal to :

If \(\omega\) is a complex cube root of unity, then $ \begin{vmatrix} 1 & \omega& \omega^2 \\[0.3em] \omega& \omega^2 & 1 \\[0.3em] \omega^2 & 1& \omega \end{vmatrix}$ is equal to

If $A =\begin{bmatrix} 3& 5 \\[0.3em] 2 & 0 \\[0.3em] \end{bmatrix}$ and $ \begin{bmatrix} 1& 17 \\[0.3em] 0 & -10 \\[0.3em]\end{bmatrix},$ then $|AB|$ is equal t
The solution of $\sin^{-1}\,x-\sin^{-1}\,2x=\pm\frac{\pi}{3}$ is