List of top Questions asked in KCET, JIPMER

If f(x) = $\sin^{-1}$ $\left(\frac{2x}{1+x^{2}}\right)$, then f' $(\sqrt{3})$ is

prologed exposure of chloroform in humans many cause damage to liver. it is due to the formation of following compound

If the sum of n terms of an A.P is given by $S_n = n^2 + n$, then the common difference of the A.P is

If a relation R on the set {1, 2, 3} be defined by R={(1, 1)}, then R is

At a metro station, a girl walks up a stationary escalator in $20 \,sec$. If she remains stationary on the escalator, then the escalator take her up in $30 \,sec$. The time taken by her to walk up on the moving escalator will be

Rain is falling vertically with a speed of $12 \,ms^{-1}$. A woman rides a bicycles with a speed of $12 \,ms^{-1}$ in east to west direction. What is the direction in which she should hold her umbrella?

The negation of the statement "For all real numbers x and y, x + y = y + x" is

If $n(A) = 2$ and total number of possible relations from Set $A$ to set $B$ is $1024$, then $n(B)$ is

The right hand and left hand limit of the function are respectively

If $2^x+2^y = 2^{x+y}$, then $\frac {dy}{dx}$ is

The formal charge on central oxygen atom in ozone is

The value of $cos\left(\sin^{-1}\frac{\pi}{3}+\cos^{-1}\frac{\pi}{3}\right)$ is

Given $E^0_{Fe^{+3}/Fe^{+2}} = +0.76V$ and $E^0_{I_2/I^-} = +0.55V.$ The equilibrium constant for the reaction taking place in galvanic cell consisting of above two electrodes is $\left[\frac{2.303RT}{F}=0.06\right]$

The order of the differential equation obtained by eliminating arbitrary constants in the family of curves $c_1y = (c_2 +c_3 )e^{x+c_4}$ is

Corner points of the feasible region determined by the system of linear constraints are $(0, 3), (1, 1)$ and $(3, 0)$. Let $z = px = qy$, where $p, q > 0$. Condition on $p$ and $q$ so that the minimum of $z$ occurs at $(3, 0)$ and $(1, 1)$ is

If a line makes an angle of $\pi/3$ with each of $x$ and and $y$-axis, then the acute angle made by $z$-axis is

If the curves $2x = y^2$ and $2xy = K$ intersect perpendicularly, then the value of $K^2$ is

The standard deviation of the data $6, 7, 8, 9, 10$ is

The distance of the point (1, 2, -4) from the line $\frac{x-3}{2} = \frac {y-3}{3} = \frac {z+5}{6}$ is

The maximum value of $\frac{log_ex}{x}$, if x > 0 is

if $(xe)^y = e^x$, then $\frac{dy}{dx}$ is =

If $y = 2x^{n+1} + \frac {3}{x^n}$ ,then $x^2 \frac{d^2y}{dx^2}$ is

The feasible region of an LPP is shown in the figure. If $Z = 11x + 7y$, then the maximum value of $Z$ occurs at

The value of $\int^{\frac{1}{2}}_{-\frac{1}{2}}cos^{-1}xdx$ is

The general solution of the differential equation $x^2dy - 2xydx = x^4\cos\,x\, dx$ is