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

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

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

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

If one root of the equation $3x^2 + 13x + k = 0$ is reciprocal of the other then $k=?$

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

If $A=\{a,b,c,d\}, B=\{0,1,2,3\}$ then $f=\{(0, a), (1, b), (2, c), (2, d)\}$ is;

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

Which of the following is greater?

The center and radius of circle $x^2 + y^2 -6x + 10y -15 = 0$;

20 years ago my age was $\frac{1}{3}$ of what it is now, what is my present age?

The sum of squares of first 18 natural numbers is;

Number of real roots $x^2 + 4x + 6 = 0$ are;

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

Which of the following is equation whose eccentricity is $1$?

The sum of 3 A.Ms between 5 and 11;

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

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

The value of $\vec{i}\cdot[(\vec{k}\times\vec{j})\cdot(\vec{i}\times\vec{k})]$ is;

The graph of $x=-16y^2$ opens towards;

From a deck of 52 playing cards, two cards are drawn at random. What is the probability of getting both aces? (where first card is replaced before drawing other)

Direction of Qibla can be determined by;

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

If $A=\{1, 2, 3, 5, 7\}, U=\{1, 2, 3, …, 11, 12\} \,and\, B= \{4, 5, 7, 9, 3\} \,then\, P(A \cup B)=?$

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

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

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

Find the average of first 50 whole numbers.

If $f(x)=(x+1)^2$ and $g(x)=x-1$ then value of $fg(4)=?$

$\sum_{k=1}^{100} (-1)^k=$

Which one is greater?

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

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

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

The equation $ax^2+by^2+2hxy+2gx+2fy+c=0$ may be a parabola if;

$\sin({\cos^{-1}{\frac{5}{4}}})=?$

$\int [x\ln{x} + x(\ln{x})^2] \, dx = ?$

$\cos{22 \frac{1}{2}^o} = ?$

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