The value of $(1 + i)^4 (1 + \frac{1}{i})^4$ equals to:

$a + ar + ar^2 + … + ar^n =? r>1$

Which of the following is not true?

Value of A and B in equation $\frac{x}{(x+3)(x+2)} = \frac{A}{(x+3)} + \frac{B}{(x+2)}$ respectively;

The middle term in the expansion of $(1+\frac{x}{2})^{20}$ is;

Which of the following is greater?

If $x=2at^2 , y=at^3$ then $\frac{dy}{dx}=?$

The fourth term in the expansion of $(1+x)^{-\frac{1}{2}}$ is;

If the width of rectangle is $4$ meters and its total area is $12$ meter square. What is its length?

If $x-1$ is a factor of $x^3-x^2-ax+1$ then value of $a=?$

When $y=p$ where $p$ is the distance from origin, then slope of $y$ is;

If $x=a\cos{\theta} + ib\sin{\theta}$ and $y=a\cos{\theta} + ib\sin{\theta}$ then $\left| xy \right|=?$

Term independent of $x$ in the expansion of $(2x+\frac{1}{x})^3$ is;

The contra positive of $\neg B \to \neg A$ is;

If $2, x, 6$ are in G. P, then value of $x$ is

Which one is in range of $f(x)=\frac{2}{3} \sin{x} ?$

Find the average of first 50 whole numbers.

If $n$ is divisble by $5$ the remainder is 3. If $3n$ is divisible by $5$ then the remainder is;

$\frac{1}{2} \sin({-\pi-2\theta})=?$

If $A(2,1)$ and $B(4,3)$ are end points of diameter of circles, then radius of circle is

The number of points of intersection of the circle $x^2 + y^2 =7$ and the hyperbola $x^2 - y^2 =1$

If $\frac{dy}{dx}=\frac{x^2 - 1}{x}$ then $y = ?$

If $\cos{2x} = 0.1$ then value of $\sin{x}$ is;

If $\vec{u} = 2\vec{i} + 6 , \vec{v} = -9\vec{i}+ 8\vec{j} + 4\vec{k}$ then $\vec{u} \cdot \vec{v} = ?$

If the vertices of a triangle are $A(0, 0)$ , $B(4, 3)$ , $C(3, 0)$ then centroid is;

Which one is greater?

For $1 < n < 5$ , which is true?

The line $y = mx + c ,$ tangent to parabola $y^2 =x $ if;

H. M between $\frac{1}{2} and \frac{1}{3} $ is;

$\lim_{n \to \infty} \frac{n^3 + 4n}{4 - 3n^2} =?$

Which of the following are the parametric questions of the ellipse $\frac{x^2}{a^2} +\frac{y^2}{b^2} = 1, a>b ?$

$\int \sin{x}\cos{x} \, dx = ?$

If m, n are the roots of the equation $x^2 + 5x + 6 = 0$, then value of $m^2 + n^2$ is;

The minimum value of $y = 2x - x^2$ is

The sum of squares of first 18 natural numbers is;

$\int_{0}^{8} \left|x-5\right| \, dx=$

If $\sin{x} + \cos{x} = 0$ then $x=?$

The sum of Binomial coefficients in the expansion of $(1-3y)^7$ is;

$\sum_{k=1}^{98} (\omega^k) =\,?$

$\int x^3 e^{5x} \, dx = ?$