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

Which of the following is not true?

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

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

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

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

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

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;

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

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

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

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

Which one is monoid?

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

Which of the following could be the equation of graph?
$150^\circ$ equal to how many radians ?

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

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

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

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

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

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

Find the average of first 50 whole numbers.

Maximum value of $f(x)=2\sin{x} + 1$ is;

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

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

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

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

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

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

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

Which of the following is right order?

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

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

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

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