List of top Questions asked in KCET, WBJEE

Locus of a point which moves such that its distance from the $X-axis$ is twice its distance from the line $x - y = 0$ is

Following is the substitution reaction in which \(-CN\) replaces \(-Cl\)
\(R - CI + KCN \overset{\Delta}{\rightarrow} R - CN + KCI\)
To obtain propane nitrile, \(R-Cl\) should be:

The charge on the capacitor of capacitance $C$ shown in the figure below will be

A diver at a depth of $12\, m$ in water $\bigg(\mu = \frac{4}{3}\bigg)$ sees the sky in a cone of semi vertical angle

When $O_2$ is converted into $O_2^+$

If $A = \begin{bmatrix}3&x-1\\ 2x+3&x+2\end{bmatrix}$ is a symmetric matrix, then the value of $x$ is

The coordinates of a moving point $p$ are $(2t^2 + 4, 4t + 6)$. Then its locus will be a

The number of solutions of $2\,\sin x + \cos\, x = 3$ 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

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

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

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

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

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? $\ce{2S2O^{2-}_3 + I2-> S4O^{2-}_6 + 2I-}$

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

Which one of the following will show optical isomerism?

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