List of practice Questions

If the three points $A(1,6), B(3, -4)$ and $C(x, y)$ are collinear then the equation satisfying by $x$ and $y$ is

If $\sin\,\theta$ and $\cos \theta $ are the roots of the equation $ax^2 - bx + c = 0$, then $a, b$ and $c$ satisfy the relation

Two aromatic compounds having formula $C_7H_8O$ which are easily identifiable by $FeCl_3$ solution test (violet colouration) are

Let $\tan \,\alpha = \frac{a}{a+1}$ and $\tan \,\beta = \frac{1}{2a + 1}$ then $\alpha + \beta$ is

Reaction of formaldehyde and ammonia gives

Which of the following compounds has maximum volatility?

The amount of the heat released when $20\,mL$ $0.5\, M\, NaOH$ is mixed with $100\, mL\, 0.1\, M\, HCl$ is $x\, kJ$. The heat of neutralization is

The ease of Nitration of the following three hydrocarbons follows the order

The magnetic field at the point of intersection of diagonals of a square wire loop of side $L$ carrying a current $I$ is

If sin $\theta = \frac{2t}{1+t^{2}}$ and $?$ lies in the second quadrant, then $cos\,\theta$ is equal to

If $\log_{7} \,2 = ?$, then the value of $\log_{49}\, \left(28\right)$ is

The solution of $\frac{dy}{dx} = \frac{y}{x}+\tan \frac{y}{x}$ is

If $^nC_4,\, ^nC_5$ and $^nC_6$ are in $A.P.$, then $n$ is

The ease of dehydrohalogenation of alkyl halide with alcoholic $KOH$ is

Among the alkenes which one produces tertiary butyl alcohol on acid hydration

Which one of the following will show optical isomerism?

If the molecular wt. of $Na_2S_2O_3$ and $I_2$ are $M_1$ and $M_2$ respectively, then what will be the equivalent wt. of $Na_2S_2O_3$ and $I_2$ in the following reaction? $\ce{2S2O^{2-}_3 + I2-> S4O^{2-}_6 + 2I-}$

An ammeter reads upto $1A$. Its internal resistance is $0.81\, \Omega$ . To increase the range to $10\, A$, the value of the required shunt is

Histone octamer contains

If $\theta + \phi = \frac{\pi}{4}$, then $\left(1+ \tan\,?\right)\left(1+ \tan\,\phi\right)$ is equal to

Let $f(x) = \tan^{-1}x$. Then $f'(x) + f''(x)$ is = $0$, when $x$ is equal to

Acidified $K_2Cr_2O_7 $ solution turns green when $Na_2SO_3 $ is added to it. This is due to the formation of

A boy standing at the top of a tower of $20\,m$ height drops a stone. Assuming $g = 10\, ms^{-2},$ the velocity with which it hits the ground is

Select the correct statement with respect to disease and immunization :

Which one of the following acts as a physiological barrier to the entry of microorganisms in human body ?