List of practice Questions

For a particle moving in a straight line, the displacement of the particle at time $t$ is given by $S=t^{3}-6t^{2}+3t+7$ . The velocity of the particle when its acceleration zero is

Digital circuits can be made with the repetitive use of

Arrange in the increasing order (lowest first) for the values of $e/m$ (charge/mass)

The substance used in the thermite process of reducing metal ores is

The reaction of white phosphorus with aqueous NaOH gives phosphine along with another phosphorus containing compound. The reaction type; the oxidation state of phosphorus in phosphine and the other product are respectively

IUPAC name of complex ion $\left(\left[C r C l_{2} \left(o x\right)_{2}\right]\right)^{3 -}$ is

The metal that products $H_2$ with both dil $HCl$ and $NaOH (aq)$ is

Alizarin is an example of

Which of the following pair of solutions is isotonic ?

The two lines $l x+my=n$ and $l'x+m'y=n'$ are perpendicular if

$\displaystyle \lim_{x\to0}\left(\frac{\tan \,x}{\sqrt{2x +4} - 2}\right)$ is equal to

How many moles of acidified $K_2Cr_2O_7$ is required to liberate $6$ moles of $I_2$ from an aqueous solution of $I^-$ ?

Which of the following is NOT a pair of functional isomers?

Diborane ${(B2H6)}$ reacts independently with ${O_2}$ and ${H2O}$ to produce, respectively

The number of 2 -centre- 2 -electron and 3-centre-2-electron bonds in $B _{2} H _{6}$, respectively, are :

If some three consecutive in the binomial expansion of $(x + 1)^n$ is powers of $x$ are in the ratio $2 : 15 : 70$, then the average of these three coefficient is :-

If $\sum^\limits{25}_{r=0} \left\{^{50}C_{r} . ^{50-r}C_{25-r}\right\}=K\left(^{50}C_{25}\right) $ , then $K$ is equal to :

If the fractional part of the number $\frac{2^{403}}{15}$ is $\frac{k}{15}$, then $k$ is equal to :

Let $(x + 10)^{50} + (x - 10)^{50} = a_0 + a_1 x + a_2x^2 + ..... + a_{50} \; x^{50} , $ for all $x \in R , $ the $\frac{a_2}{a_0} $ is equal to :-

The term independent of x in the expansion of $\bigg(\frac{1}{60} - \frac{x^8}{81}\bigg). \bigg(2x^2 - \frac{3}{x^2}\bigg)^6$ is equal to:

If a circle $C$ passing through the point $(4,0)$ touches the circle $x^2 + y^2 + 4x - 6y = 12$ externally at the point $(1, -1)$, then the radius of $C$ is :

If a circle of radius $R$ passes through the origin $O$ and intersects the coordinate axes at $A$ and $B$, then the locus of the foot of perpendicular from $O$ on $AB$ is :

If one end of a focal chord of the parabola, $y^2 = 16x$ is at $(1, 4),$ then the length of this focal chord is

If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is $90^{\circ}$, then the length (in cm) of their common chord is :

Let S and S' be the foci of the ellipse and B be any one of the extremities of its minor axis. If 'S'BS is a right angled triangle with right angle at B and area ($\Delta$S'BS) = 8 s units, then the length of a latus rectum of the ellipse is :