List of practice Questions

The projections of a vector on the three coordinate axis are $6, - 3, 2$ respectively. The direction cosines of the vector are

If $A, B$ and $C$ are three sets such that $A \cap B = A \cap C$ and $A \cup B = A \cup C$ , then

If $\vec{u}, \vec{v}, \vec{w}$ are non-coplanar vectors and $p, q$ are real numbers, then the equality $\left[3\vec{u}\, p\vec{v}\,p\vec{w}\right]-\left[p\vec{v}\,\vec{w}\,q\vec{u}\right]-\left[2\vec{w}\,q\vec{v}\,q\vec{u}\right]=0$ holds for

From $6$ different novels and $3$ different dictionaries, $4$ novels and $1$ dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then the number of such arrangements is

Formula of microcosmic salt is

Formation of alcohol by oxymercuration- demercuration of alkenes

$FAD$ is a coenzyme derived from

Eustachian tube connects

Development of egg without fertilization is called as

Damping on sharpness of resonance has

Dark bands are

Cotton fibres mainly contains

Core zone, buffer zone and manipulation zone are found in

Contraceptive oral pills help in birth control by

Epimysium, perimysium and endomysium are found in

Coconut water contains

Cockroach mainly excretes

Cell wall of bacteria and blue green algae is composed of

Tube feet are locomotory organ in

Calculate the wavelength (in nanometer) associated with a proton moving at $1.0 \times 10^3ms^{-1}$ (Mass of proton $= 1.67 \times 10^{-27}\, kg$ and $h = 6.63 \times 10^{-34}\, Js$ ) :

Bipolar neurons occur in

Best material for the study of mitosis in laboratory : -

Bark refers to

Axis vertebra is identified by

Transformers are used only in alternating current source not in direct current. Only a.c. can be stepped up or down by means of transformers.