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

The equation $ax^2+by^2+2hxy+2gx+2fy+c=0$ may be a parabola if;

If $(3,7)$ and $(8,9)$ belong to complex numbers then $(3,7)\div (8,9)=?$

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

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

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

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

Direction of Qibla can be determined by;

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

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

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

Which of the following is not true?

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

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

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

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

If $2, x, 6$ are in G. P, then value of $x$ is

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

$a + ar + ar^2 + … + ar^n =? r>1$

The sum of squares of first 18 natural numbers is;

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

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

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

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

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

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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