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

Which of the following is right order?

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

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

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

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

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

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

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

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

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

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

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

Direction of Qibla can be determined by;

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

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

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;

Find the average of first 50 whole numbers.

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

Which one is greater?

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

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

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

Which of the following is greater?

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)

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

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

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

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

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

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

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

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

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

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

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

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

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