List of top Questions asked in JKCET

A manufacturer has $ 500\text{ }L $ of a $ 10\% $ solution of acid, find the range of 40% acid to be added to it , such that the acid content in the resultant mixture will be more than $ 15\% $ but less than $ 20\% $ .

If $ y=x{{e}^{2y}}, $ then find $\frac{ dy}{dx} $ .

Find $ \frac{dy}{dx}, $ if $ y={{\sin }^{2}}x+{{\cos }^{4}}x $

Find the value of $ \sin \,(2\,{{\tan }^{-1}}x),\,|x|\le 1 $

Solve $ {{\sin }^{-1}}\,2x+{{\cos }^{-1}}\,2x+2\,{{\tan }^{-1}}\,x=\pi $

Find the area of the triangle with vertices $ (2,3), $ $ (0,\,\,1) $ and $ (1,\,\,2) $ .

Find the value of $ \cos \,\,(29\pi /3)? $

Solve for $ x,\,\,{{\tan }^{-1}}(1/x)=\pi +{{\tan }^{-1}}x,\,\,0 < x < 1 $

Find the derivative of $ \sqrt{2}x+2\sqrt{x}-\frac{1}{x} $ ?

Find the intersection of the spheres $ {{x}^{2}}+{{y}^{2}}+{{z}^{2}}+7x-2y-z=13 $ and $ {{x}^{2}}+{{y}^{2}}+{{z}^{2}}-3x+3y+4z=8 $

Integrate $ \frac{{{\sec }^{2}}\,({{\sin }^{-1}}x)}{\sqrt{1-{{x}^{2}}}} $

Given two vectors are $ \hat{i}-\hat{j} $ and $ \hat{i}+2\hat{j}, $ the unit vector is coplanar with the two vectors and perpendicular to the first. Find the vector?

Differentiate $ \sin \,\,(\sin \,\,2x). $

For what values of $x$, the numbers $ -1,\,x,-3/4 $ are in $GP$ ?

Let $ A=\{1,\,\,2\,\{a,\,\,b\},\,\,3,\,\,4\}, $ which among the following statements is incorrect?

Find the range of the function $ f:[0,\,1]\to R,\,\,f(x)={{x}^{3}}-{{x}^{2}}+4x+2{{\sin }^{-1}}x $ ?

There are $7$ horses in a race, Mr. X selected $2$ horses at random and bet on them. The probability that Mr. X selected the winning horse, is

An infinite line charge produces a field of $ 18\times 10^{5}\,N/C $ at a distance of $ 4\,cm $ . What is the linear charge density?

In Freundlich Adsorption isotherm, the value of $1/n$ is :

What kinds of bonds are present in ethene molecule?

Which acid is present in vinegar?

Lithium shows diagonal relationship with

Addition of oxygen to an element or a compound is termed as

Why $d$-block element form complexes?

A constant retarding force of $ 80\,N $ is applied to a body of mass $ 50\,kg $ which is moving initially with a speed of $ 20\,m/s $ . What would be the time required by the body to come to rest?