List of practice Questions

If $ {{I}_{m}}\left( \frac{z-1}{2z+1} \right)=-4, $ then locus of z is

If the foot of the perpendicular from $ (0,0,0) $ to a plane is $ (1,2,2), $ then the equation of the plane is

The angle between the pair of lines $ ({{x}^{2}}+{{y}^{2}}){{\sin }^{2}}\alpha ={{(x\,\cos \theta -y\,\sin \theta )}^{2}} $ is :

The value of $ {{\cos }^{2}}\left( \frac{\pi }{4}+\theta \right)-{{\sin }^{2}}\left( \frac{\pi }{4}-\theta \right) $ is

Which one of the following is a correct statement?

Which one of the following shows maximum value of paramagnetic behaviour?

The number of moles of $KMnO_4$ that will be needed to react with one mole of sulphite ion in acidic solution is

A beam of electron passes undeflected through mutually perpendicular electric and magnetic fields. If the electric field is switched off, and the same magnetic field is maintained, the electrons move

The finches of Galapagos Islands provide an evidence in favour of

Electric potential at the centre of a charged hollow metal sphere is

The enthalpy of hydrogenation of cyclohexene is $-119.5\, kJ\, mol ^{-1}$. If resonance energy of benzene is $-150.4\, kJ\, mol ^{-1}$, its enthalpy of hydrogenation would be

Growth rings are formed due to activity of

The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is

Black rust of wheat is caused by

A boy aims at a bird from a point at a horizontal distance of $100 \,m$. The gun can impart a velocity of $500\, m/s$ to the bullet. At what height above the bird must he aim his gun in order to hit? $(g = 10\, m/ s^2)$.

$ABC$ is a triangle $G$ is the centroid $ D$ is the mid- point of $BC$. If $A - (2, 3) $ and $G = (7, 5)$, then the point $D$ is

The particle executing simple harmonic motion has a kinetic energy $ K_0 \cos^2 \omega t $.. The maximum values of the potential energy and the total energy are respectively

A particle executes SHM with a period of $ 8\,s $ and amplitude $ 4\,cm $ . Its maximum speed in $cm/s$, is

A long magnet is cut into two equal parts, such that the length of each half is same as that of original magnet. If the period of original magnet is $T$, the period of new magnet is

The coordinates of a moving particle at any time $t$ are given by $x=\alpha t^{3}$ and $y=\beta t^{3}$. The speed of the particle at time $t$ is given by

In breakdown region, a Zener diode behaves as a

The colloidal system of a solid dispersed in liquid medium, is called

Let $ {{z}_{1}} $ and $ {{z}_{2}} $ be the roots of the equation $ {{z}^{2}}+pz+q=0 $ where p, q are real. The points represented by $ {{z}_{1}},{{z}_{2}} $ and the origin form an equilateral triangle, if

The presence of electric charge on colloidal particles is indicated by the property, called