List of practice Questions

The van't Hoff factor for a dilute solution of glucose is

The van't Hoff factor for a very dilute solution of $Fe_2(SO_4)_3$ is

The values of the determinant $ \begin{vmatrix} x+1& x+2 &x+4 \\[0.3em] x+3 & x+5 & x+8 & \\[0.3em] x+7 & x+10 & x+14 \end{vmatrix}$

The values of x satisfying $| x - 4 | + | x - 9 | = 5$, is :

The values of coefficients to balance the following reaction are $Cr\left(OH\right)_{3} + ClO^{-}+OH^{-}\to CrO_{4}^{2-}+ Cl^{-} + H_{2}O$

The values of colligative properties of colloidal solution are of small order in comparison to those shown by true solutions of same concentration because of colloidal particles

The value of x, so that the matrix $=\begin{bmatrix} x+a &b& c \\[0.3em] a& x+b & c \\[0.3em] a & b & x+c \end{bmatrix}$ has rank 3 , is

The value of $|z|^2 + |z - 3|^2 + |z - i|^2$ is minimum when $z$ equals.

The value of x where $\begin{bmatrix}6&x-2\\ 3&x\end{bmatrix}$, has no inverse is :

The value of universal gravitational constant $G=6.67 \times 10^{-11}\,N\,m^{2}\,kg^{-2}$. The value of $G$ in units of $g^{-1}\, cm^3\, s^{-2}$ is

The value of the sum $(\,^nC_1)^2+(\,^nC_2)^2+(\,^nC_3)^2+...+(\,^nC_n)^2$ is

The value of the term independent of x in the expansion of $\left(1+\frac{x}{2}-\frac{2}{x}\right)^{4}, x \ne 0$ is equal to

The value of the magnetic field induction at the centre of the coil, if l = 2A, h= 10 cm. in the following figure is

The value of the expression $\frac{1}{2} ( \sqrt{3} \sin 75^{\circ} - \cos \, 75^{\circ} )$ is :

The value of the expression tan 1$^\circ$ tan 2$^\circ$ tan 3$^\circ$ tan 4$^\circ$ ______tan 87$^\circ$ tan 88$\circ$ tan 89$^\circ$ is equal to

The value of the determinant of $\begin{bmatrix}x+1&x+2&x+4\\ x+3 &x+5&x+8\\ x+7 &x+10&x+14\end{bmatrix}$ is :

The value of the definite integral $\int\limits_{0}^{1}\frac{x\,dx}{x^3+16}$ lies in the interval [a, h], The smallest such interval is

The value of $tan3A - tan2A - tanA$ is equal to

The value of $\frac{\tan \, x}{\tan \, 3x}$ wherever defined never lies between

The value of tan $(\frac {\pi} {4} + \theta)$ tan $(\frac {3\pi} {4} + \theta)$

The value of $\tan \, 20^{\circ} + 2 \, \tan \, 50^{\circ} - \tan \, 70^{\circ} $ is :

The value of $\tan \, 3A- \tan \, 2A- \tan \, A$ is:

The value of $\tan 81^{\circ} -\tan 63^{\circ} -\tan 27^{\circ} + \tan 9^{\circ}$ is equal to

The value of $\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{1}{5}+\tan^{-1}\frac{1}{7}+\tan^{-1}\frac{1}{8}$ is

The value of $\tan \left[2\,\tan^{-1}\frac{1}{5}-\frac{\pi}{4}\right]$ is