The term free from $t$ in $(4t+\frac{5}{t})^t$ is;
The minimum value $\sin{x}\cdot\cos{x}$ is;
The value of "k" for which $1-\sqrt{2}$ is one root of the equation $x^2-2x+k=0$ is?
$\hat{i} \cdot (\hat{j} \times \hat{k})=?$
The line $y=2x+L$ is tangent to the circle $x^2+y^2=9$, then $L=?$
The cube roots of $-64$ are;
Domain of $\sqrt{16x-16x^2}$ is;
$\frac{d}{dx}(\log_7{x})=?$
If $\alpha=\begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$ then $\alpha^{-1}=?$
Two identical dice are rolled. The probability that the same number will appear on the both both is ;
$\sin({\tan^{-1}(-1)})=?$
$tan(\cos^{-1}(\frac{2}{3}) + \sin^{-1}(\frac{2}{3}))=?$
Center of the sphere $4x^2+4y^2+4z^2-4x-4y+4z=1$ is;
The fifth term of the sequence $(-1)^n+1$ is;
Focus of the conic $x^2-6x-8y=7$ is
Slope of a line which is parallel to the line joining the points $(2,5)$ and $(3,8)$ is;
The area between $y=4\sin{x}$ from 0 to $\pi$ is;
Number containing three digits, repetition NOT allowed are?
The point of intersection of the lines $3x+2y=8$ and $5x-11y+1=0$ is;
If $f'(x)=g(x)$ then $\int f(x)\cdot g(x) \, dx=?$
If $\theta=30$ , then $\frac{1+\tan^2{\theta}}{2\tan{\theta}}=?$
If $\sin{\theta}=\frac{2}{3}$ then $\cos{2\theta}=?$
One root of the equation $2^{2x}-10\cdot2^x+16=0$ is;
The value of "$\alpha$" for which $4x^2+4(\alpha+1)x+\alpha^2=0$, has equal roots, is
If one of the root of the equation $x^2-px+q=0$ is of the other then twice
$\begin{bmatrix} \csc{x} & -1 \\ -1 & \csc{x} \end{bmatrix}$
Which of the following matrices is not invertible?
A coin is tossed 8 times, the probability of getting a head 5 times is;
$f(x) = \begin{cases} x-4, & \text{if } x > 2 \\ 2, & \text{if } x = 2 \\ 2 - x^2, & \text{if } x < 2 \end{cases}$, then find the value of "m" such that the functions is continuous at $x=2$.
$\frac{\binom{25}{11}}{\binom{25}{10}}=?$
If given that $g(0)=2, g '(0)=1$ and $f(x)=xg(x)$, then $f'(0)=?$
Solution of the differential equation $\frac{d}{dx}y=\frac{x}{x^2+1}$ is
If the line $y=x+\frac{c}{2}$ is tangent to the ellipse of $c$ is$\frac{x^2}{16}+\frac{y^2}{9}=1$ then the value
Domain of the function $f=\{(1,3),(3,5),(2,6)\}$ is;
The length of tangent from the point $(2,5)$ to the circle $x^2+y^2-2x-3y-1=0$ is;
$(\frac{1+i}{1-i})^{104}=?$
