List of top Questions asked in KCET

The reducing agent in the given equations :
\(4\ Ag_{(s)}+8\ CN_{(aq)}^-+2H_2O_{(aq)}+O_{2_{(g)}}\rightarrow4[Ag(CN)_2]_{(aq)}^-+4\ OH_{(aq)}^-\)
\(2[Ag(CN)_2]_{(aq)}^-+Zn_{(s)}\rightarrow[Zn(CN)_4]_{(aq)}^{2-}+2Ag_{(s)}\)
The length of perpendicular drawn from the point (3, -1, 11) to the line \(\frac{x}{2}=\frac{y-2}{3}=\frac{z-3}{4}\) is
If a lines makes an angle of \(\frac{\pi}{3}\) with each X and Y axis then the acute angle made by Z-axis is
If \(\vec{a}+2\vec{b}+3\vec{c}=\vec{0}\) and
\((\vec{a}\times\vec{b})+(\vec{b}\times\vec{c})+(\vec{c}\times\vec{a})=\lambda(\vec{b}\times\vec{c})\)
then the value of λ is equal to
In the interval (0, π/2), area lying between the curves y = tan x and y = cot x and the X-axis is
When FeCl3 is added to excess of hot water gives a sol ‘X’. When FeCl3 is added to NaOH(aq) solution, gives sol ‘Y’.
X and Y formed in the above processes respectively are
Consider the following 4 electrodes
A : Ag+ (0.0001 M)/Ag(s) ;  B : Ag+ (0.1 M) / Ag(s)
C : Ag+ (0.01 M)/Ag(s) ;        D : Ag+ (0.001 M) / Ag(s); \(E^{\degree}_{Ag^{+/Ag}}\)=+ 0.80 V
Then reduction potential in volts of the electrodes in the order
The component of \(\hat{i}\) in the direction of the vector \(\hat{i}+\hat{j}+2\hat{k}\) is
If \(|\vec{a}+\vec{b}|=|\vec{a}-\vec{b}|\) then
The degree of the differential equation
\(1+(\frac{dy}{dx})^2+(\frac{d^2y}{dx^2})^2= \sqrt[3]{\frac{d^2y}{dx^2}+1}\) is
During the electrolysis of brine, by using inert electrodes,
If a curve passes through the point (1, 1) at any point (x, y) on the curve, the product of the slope of its tangent and x co-ordinate of the point is equal to the y co-ordinate of the point, then the curve also passes through the point
The area of the region bounded by the line y = x +1, and the lines x = 3 and x = 5 is
\(\int\sqrt{5-2x+x^2}\ dx=\)
\(\int\limits^{\pi}_{0}\frac{x\tan x}{\sec x.\cosec x}\ dx=\)
\(\int\limits_{-2}^{0}(x^3+3x^2+3x+3+(x+1)\cos(x+1))\ dx=\)
\(\int\frac{1}{1+3\sin^2 x+8 \cos^2 x}\ dx=\)
If f(x) and g(x) are two functions with g(x) = \(x-\frac{1}{x}\) and fog(x) = \(x^3-\frac{1}{x^3}\) then f'(x) =
An enemy fighter jet is flying along the curve given by y = x2 + 2. A soldier is placed at (3, 2) wants to shoot down the jet when it is nearest to him. Then the nearest distance is
The rate constants k1 and k2 for two different reactions are 1016 × e-2000/T and 1015 × e-1000/T respectively. The temperature at which k1 = k2 is :
\(\int\sqrt{\cosec x-\sin x}\ dx=\)
For a reaction, the value of rate constant at 300 K is 6.0 ×105 s-1. The value of Arrhenius factor A at infinitely high temperature is :
\(\int\limits_{2}^{8}\frac{5^{\sqrt{10-x}}}{5^{\sqrt{x}}+5^{\sqrt{10-x}}}\ dx=\)
In which one of the following reactions, rate constant has the unit mol L-1 s-1 ?
The resistance of 0.1 M weak acid HA in a conductivity cell is 2 × 103 Ohm. The cell constant of the cell is 0.78 C m-1 and \(\lambda_{m}^{\degree}\) of acid HA is 390 S cm2 mol-1. The pH of the solution is