List of top Mathematics Questions

the two vectors \(\vec{A}\) and \(\vec{B}\) are drawn from a common point and \(\vec{C}=\vec{A}+\vec{B}\)

If the number of bijective functions from a set A to set B is 120,the n(A)+n(B) is equal to

Let \(f:R→R\) be defined by f(x)={\(x \text{  if  }   x≤1 -x+2 \text{  if  } x>1\)}.Then \(∫_0^2f(x)dx\)=?

The equation of the line passing through origin which is parallel to the tangent of the curve \(y=\dfrac{x-2}{x-3}\) at \(x=4\) is 
Let \(f:R→R\) be a function defined by f(x)={\(3e^x \text{ if } x<0 x^2+3x+3  \text{ if  } 0≤x<1 x^2-3x-3\text{   if  } x≥1\)
If tan⁡3θ−1tan⁡3θ+1=3, then the general value of θ is:
Let \(f(x)=αsin^{2}3x.\) If \(f'(π/12)=-3\) ,then the value of \(α \) is_____.

Let \(α\) and \(β\) be such that \(α+β=π\).If \(cosα=\dfrac{1}{√2}\) ,then the value of \(cot (β-α)\) is 

 The sum of the series 11.2−12.3+13.4−…..∞
The coefficient of xn in the expansion of e7x+exe3x is
A problem is given to 3 students. Their chances of solving it individually are $\frac{1}{3}, \frac{1}{4}$ and $\frac{1}{5}$ . The probability that the problem will be solved is
If the sums of n terms of two arithmetic series are in the ratio 2n + 3 : 6n + 5, then the ratio between their 13th terms is
The line passing through the points \((2,1,0) , (5,0,1)\) and \( (4,1,1)\) intersects the \(x-\)axis at
The equations of the lines through the point (3, 2) which make an angle of 45o with the line x - 2y = 3 are
The signum function, $f$ : $R \to R$ is given by $f(x) = \begin{cases} 1, & \text{if } x > 0 \\ 0, & \text{if } x=0 \\ -1, & \text{if } x < 0 \end{cases} $ is
Which one of the following statements is correct ? The power set of the null set is
The modulus of the complex number $z=\frac{\left(1-i\sqrt{3}\right)\left(cos\,\theta+i\, sin\,\theta\right)}{2\left(1-i\right)\left(cos\,\theta-i\, sin\,\theta\right)}$ is
The value of cot−1⁡9+cos⁡ec−1414
The angle between the straight lines x−y3=5 and 3x+y=7 is
The mode of the following series $ 3, 4, 2, 1, 7, 6, 7, 6, 8, 6, 5$ is
$\displaystyle \sum_{r=1}^\infty$$ tan^{-1}\left(\frac{1}{1+r+r^{2}}\right)=...........$
∫0π/2cot⁡xcot⁡x+tan⁡xdx is equal to
The mean and standard deviation of marks obtained by $50$ students of a class in three subjects, Mathematics, Physics and Chemistry are given below. Which of these three subjects shows the highest variability in marks and which shows the lowest?
The maximum value of sin x + cos x is
$\displaystyle \lim_{x \to 2}$$\left[\frac{1}{x-2}-\frac{2\left(2x-3\right)}{x^{3}-3x^{2}+2x}\right]$ is equal to