List of practice Questions

If A and B are the two real values of k for which the system of equations $x + 2y + z = 1,x + 3y + 4r = k.x + 5v + 10z = k^2 $ is consistent, then $A + B = $

Let $z = x + iy$ and a point $P$ represent $z$ in the Argand plane. If the real part of $\frac{z - 1}{z + i}$ is 1. then a point that lies on the locus of $P$ is

If $z_{1} = 1 -2i ; z_{2} = 1 + i$ and $z_{3 } = 3 + 4i,$ then $ \left( \frac{1}{z_{1}} + \frac{3}{z_{2}}\right) \frac{z_{3}}{z_{2}} = $

If $1 , \omega , \omega^2$ are the cube roots of unity, then $\frac{1}{1+2\omega} + \frac{1}{2+\omega } - \frac{1}{1+\omega } = $

If $\tan \, \theta = \frac{\cos 25^{\circ} + \sin 25^{\circ} }{\cos 25^{\circ} - \sin 25^{\circ} }$ and $\theta$ is in the third quadrant, then $\theta = $

Natality refers to�

Select the correct match :

A group 13 element 'X' reacts with chlorine gas to produce a compound $XCl _{3} . XCl _{3}$ is electron deficient and easily reacts with $NH _{3}$ to form $Cl _{3} X \leftarrow NH _{3}$ adduct; however, $XCl _{3}$ does not dimerise. $X$ is

At a particular temperature, the ratio of molar conductance to specific conductance of 0.01 M NaCl solution is

The value of rate constant of a pseudo first order reaction

Acidity of $BF_3$ can be explained on which of the following concepts ?

Which of the following, represents the variation of inductive reactance $(X_L)$ with the frequency of voltage source (v) ?

Which of the following aqueous solutions should have the highest boiling point ?

Very pure $N_2$ can be obtained by

The energy equivalent to a substance of mass 1 g is

In Karnataka, the normal domestic power supply AC is 220 V, 50 Hz. Here 220 V and 50 Hz refer to

For which one of the following systems at equilibrium, at constant temperature will the doubling of die volume cause a shift to the right?

For the reaction $2N_2O_5 \to 4NO_2 + O_2$, rate and rate constant are $1.02 \times 10^{-4}$ mol $lir^{-1}$ $sec^{-1}$ and $3.4 \times 10^{-5}$ $sec^{-1}$ respectively then concentration of $N_2O_5$ at that time will be

Which of the following is true for nucleolus

Select the incorrect match :

A person may be a haemophilic, only if his mother is a carrier or colourblind. The male parent cannot pass on a sex-linked gene to his son.

Which of the following organisms are known as chief producers in the oceans ?

Which among the following is not a prokaryote ?