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

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

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

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

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

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

The eccentricity of the hyperbola $x^2 - y^2 =1$ is;

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

Which one is greater?

If $A=\begin{bmatrix} 0 & 1 & b \\ -1 & 0 & -a \\ 5 & 6 & 0 \\ \end{bmatrix} $ is a skew symmetric matrix, then values of $a$ & $b$ respectively are

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

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

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

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

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

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

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

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

The equation $\frac{x^2}{16} + \frac{y^2}{81}=1$ is symmetric about;

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

$\lim_{{x \to \infty}}\frac{3x^2 - 1}{4 - 2x^2} =\,?$

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

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

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

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

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

$\log_{10}(0.01)=?$

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

Bisma's Salary was reduced by $25\%$. Percentage increase to be effected to bring the salary to original level is;

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

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

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

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

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

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

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

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

Find the average of first 50 whole numbers.

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

$\tan^{-1}(x) + \tan^{-1}(\frac{1}{x}) =?$

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