List of top Mathematics Questions asked in JKCET

A normal to the curve $ 2x^{2 }- y^{2} = 14 $ at the point $ (x_{1}, y_{1}) $ is parallel to the straight line $ x + 3y = 4 $ . Then the point $ (x_{1}, y_{1}) $ is

When $ y = vx $ , $ y $ and $ x $ are variables, the differential equation $ \frac{dy}{dx}=\frac{2xy}{x^{2}-y^{2}} $ reduces to

The value of integral \(\int{e^x}(\frac{cosx+sinx}{cos^2x})dx\)

Let the function $ f(x) $ be continuous in the interval $ [a, b] $ and differentiable in $ (a, b) $ . Then there is at least one point $ c $ in $ (a, b) $ at which the tangent to the curve $ y = f (x) $ is parallel to

If tan $ y=\frac{sin\,x+cos\,x}{cos\,x-sin\,x} $ , then $ \frac{dy}{dx}= $

Let $ P\left(x\right)=^{10}C_{x} \left(\frac{1}{2}\right)^{10} , x=0, 1, 2, \ldots,10 $ be the probability mass function of a binomial distribution $ X $ . Then the mean of $ X $ is

The function $ f (x) = |x-10| $ , $ x $ is real number, is

If $ 25^{th} $ term of an $ A.P. $ is $ 15 $ and if its $ 15^{th} $ term is $ 25 $ , then the $ 40^{th} $ term of the $ A.P. $ is

A pair of unbiased dice is thrown once. Let $ X $ be the random variable denoting the product of numbers that appear on the two dice. Then $ P\left(X \ge21\right)= $

The integrating factor of the differential equation $ \left(1+x^{2}\right)\frac{dy}{dx}+xy=cos\,x $ is equal to

If $ ^{32}{{P}_{6}}=k\,{{(}^{32}}{{C}_{6}}), $ then $k$ is equal to

Which of the following is a tangent to the curve given by $ {{x}^{3}}+{{y}^{3}}=2xy? $

Consider the curve given by $ {{({{x}^{2}}+{{y}^{2}})}^{2}}=4({{x}^{2}}-{{y}^{2}}) $ . Which of the following is not true?

The points $ (1,3,4),\,(-1,6,10),\,(-7,4,7) $ and $ (-5,1,1) $

The sum of lengths of major and minor axes- of an ellipse whose eccentricity is $ \frac{4}{5} $ and length of latuserectum is $ 14.4 $ , is

If $ |\vec {a} |=7 $ and $ |\vec {b} |=11, $ then the angle between the vectors $\vec {a} +\vec {b} $ and $\vec {a} -\vec {b} $ is equal to

At present, a firm manufactures 1099 items. It is estimated that the rate of change of production P with respect to additional number of workers x is given by $ \frac{dP}{dx}=100-12\sqrt{x}. $ . If the firm empower 25 more workers, then the new level of production of items is

In an isosceles right angled triangle $ABC$, a value of $ \tan \left( \frac{A}{2} \right)+\tan \left( \frac{B}{2} \right)+\tan \left( \frac{C}{2} \right) $ is

The function is $ f(x)=\frac{1}{2-\cos \,3x},\,x\,\in \left[ 0,\frac{\pi }{3} \right], $ is

Let function $ f(x)={{(x-1)}^{2}}{{(x+1)}^{3}}. $ Then, which of the following is false?

The last digit in the integer $ {{3}^{101}}+1 $ is

The derivative of $sin\, x$ with respect to $ cos\text{ }x $ is

$ \underset{x\to 0}{\mathop{\lim }}\,\,\frac{\sin {{x}^{2}}}{1-\cos x} $ is

If getting a number greater than $4$ is a success in a throw of a fair die, then the probability of at least $2$ successes in six throws of a fair die is