List of practice Questions

If $\left|Z-\frac{4}{z}\right|=2$, then the maximum value of $\left|Z\right|$ is equal to

Three distinct points $A, B$ and $C$ are given in the $2$ - dimensional coordinate plane such that the ratio of the distance of any one of them from the point $(1, 0)$ to the distance from the point $( - 1, 0)$ is equal to $\frac{1}{3}$. Then the circumcentre of the triangle $ABC$ is at the point

If P and Q are the points of intersection of the circles $x^2 + y^2 + 3x + 7y + 2p - 5 = 0$ and $x^2 + y^2 + 2x + 2y - p^2 = 0$ , then there is a circle passing through $P, Q$ and $(1, 1)$ for

In a binomial distribution $B\left(n. p=\frac{1}{4}\right)$, if the probability of at least one success is greater than or equal to $\frac{9}{10}$, then n is greater than

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