List of practice Questions

if $A \begin{bmatrix}1&2\\ 2&1\end{bmatrix}$and $f(x) = (1+x) (1 - x)$, then $f(A)$ is

If $ A=\begin{bmatrix}0&1\\ 0&0\end{bmatrix}$, I is the unit matrix of order 2 and a, b are arbitrary constants, then $(aI + bA)^2$ is equal to

If $A = \begin{bmatrix}0&-1\\ 1&0\end{bmatrix}$ then $A^{16}$ is equal to :

If $A = \begin{bmatrix}0&2&-3\\ -2&0&-1\\ 3&1&0\end{bmatrix}$ , then A is a

If $A = \begin{bmatrix}0&5\\ 0&0\end{bmatrix} $ and $f\left(X\right) =1+x+x^{2} +....+x^{16} $, then $f(A) = $

$IF_5$ has the following hybridisation

If 500 mL of a gas A at 1000 torr and 1000 mL of gas B at 800 torr are placed in a 2 L container,the final pressure will be

If $\frac{5z_2}{7z_1}$ is a purely imaginary number, then $\left|\frac{2z_1+3z_2}{2z_1-3z_2}\right|$ is equal to

If $4x + 3 < 6x + 7$, then $x\in$

If $\frac{5+9+13+.....n \, terms}{7+9+11+.......(n+1)terms}=\frac{17}{16}$ ,then n is equal to

If $\frac{3x - 4}{2} \ge \frac{x + 1}{4} - 1$, then $x\in$

If $\frac {2z_1} {3z_2} $ is a purely imaginary number, then $|\frac {z_1-z_2} {z_1+z_2}|$ is equal to

If $3\,\sin^{-1}\left(\frac{2x}{1+x^2}\right)-4\,\cos^{-1}\left(\frac{1-x^2}{1+x^2}\right)+2\,tan^{-1}\left(\frac{2x}{1-x^2}\right)=\frac{\pi}{3}$, then $x$ is equal to

If $^{30}C_{r+2} = {^{30}C_{r-2}}$, then r equals :

If $\begin{bmatrix}3&1\\ 4&1\end{bmatrix} X = \begin{bmatrix}5&-1\\ 2&3\end{bmatrix} $ then X is equal to:

If $2n = 4$, then identify the figures $A, B$ and $C$, as per the following codes and select the correct option.

Anaphase of meiosis 1 = (i) Anaphase of mitosis = (ii) Anaphase meiosis II =(iii)

If $(2x^2 - x - 1)^5 = a_0 + a_1x + a_2x^2 + ... + a_{10}x^{10}$, then, $a_2 + a_4 + a_6 + a_8 + a_{10} =$

If $2x + 3y + 12 = 0$ and $x - y + 4\lambda$ = 0 are conjugate with respect to the parabola $y^2 = 8x,$ then $ \lambda$ is equal to

If $13.6 \,eV$ energy is required to separate a hydrogen atom into a proton and an electron, then the orbital radius of electron in a hydrogen atom is

If 150 kJ of energy is needed for muscular work to walk a distance of one km, then how much of glucose one has to consume to walk a distance of provided only 30% energy is available for muscular work. The enthalpy of combustionof glucose is 3000 $kJ mol^{-1}$'

If $2 \alpha =-1-i \sqrt{3}$ and $2 \beta=-1+i \sqrt {3}$, then $5 \alpha^4+5 \beta^4 +7 \alpha ^{-1} \beta ^{-1}$ is equal to

If $1 + \sin\theta + \sin^2\, \theta + ............. $ $to \infty=4+2\sqrt{3},0

If ${^{10}C_{x}} = {^{10}C_{x + 4}}$, find the value of x.

Identify Z in the sequence. $ {CH3CH2CH \,=\, CH2 ->[HBr/H_2O_2] Y }$$ { ->[C_2H_5ONa] Z}$

If $ (1 + i) (1 + 2i) (1 + 3i) ..... (1 + ni) = x + iy,$ then $2\cdot 5 \cdot 10$ $(1 + n^2) =.......$