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

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

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

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

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

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

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

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

Direction of Qibla can be determined by;

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

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

$x^2 -5xy + 4y^2$ is made from which of the following pairs?

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

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

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

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)

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

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

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

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

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

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

Which of the following is not true?

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

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

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

Which of the following is right order?

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

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

Which one is monoid?

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

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

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

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

Find the average of first 50 whole numbers.

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

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

Which one is greater?

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

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