Welcome to your Entry Test Preparation (ECAT) Math Mock Test 2

If $A$ is a square matrix of order $5$, and $\left|A\right|=3$ then $\left|2A\right|=?$

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

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

Direction of Qibla can be determined by;

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

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

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

Which one is greater?

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

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

If area of circle is $100\pi$, then radius of circle is;

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

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

Co-efficient of $x^n$ in the expansion of $(x^2 - \frac{1}{x})^n$ is;

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

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

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

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

The rank of the matrix $ \begin{bmatrix} 1 & -1 & 2 & -3 \\ 2 & 0 & 7 & -7 \\ 3 & 1 & 12 & -11 \\ \end{bmatrix} $ is;

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

Which one is monoid?

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

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

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

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

Which of the following could be the equation of graph?
If $\sin{x} + \cos{x} = 0$ then $x=?$

$150^\circ$ equal to how many radians ?

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

Distance between lines $3x+4y-4=0$ and $6x+8y+2=0$ is;

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

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

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

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

Term independent of $x$ in the expansion of $(2x+\frac{1}{x})^4$ is;

The sides of a triangle are $7, 4\sqrt{3}, \sqrt{13}$ . Then smallest angle would be;

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

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

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

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