List of top Mathematics Questions

The equation of the normal to the ellipse \(\frac{x^2}{10}+\frac{y^2}{5}=1\) at \((\sqrt8,1)\) is

Equation of the parabola whose vertex and focus lie on the axis of x at distances a and a₁ from the origin respectively is

A unit vector coplanar with \(\overrightarrow{i}+\overrightarrow{j}+2\overrightarrow{k}\) and \(\overrightarrow{i}+2\overrightarrow{j}+\overrightarrow{k}\) and perpendicular to \(\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}\) is

If one of the lines ax²+2hxy+by²=0 bisects the angle between positive directions of the axes then a,h,b satisfy the relation

The length of the intercept made by the circle x² + y² - 12x + 14y + 11 = 0 on x-axis is

If x = -2 + 3 cosθ ; y = 1 + 3 sinθ then the locus of the point (x,y) is a circle with

If angle between \(\overrightarrow{i}-2\overrightarrow{j}+3\overrightarrow{k}\) and \(2\overrightarrow{i}+\overrightarrow{j}+3\overrightarrow{k}\) is \(\theta\) then \(\sin\theta\) is equal to

The P.I of (D² +4) y = sin h2x is

The are bounded by y = x - 1 and y = 3 - x is

The set of points, where \(f(x)=\frac{x}{1+|x|}\) is differentiable, is:

If [x] is the greatest integer function then \(\int^{2}_{-2}[x]^3dx=\)_____

Let f(2a - x) = -f(x). then \(\int\limits^{2a}_{0}f(x)dx=\)

The angle of intersection of the curves y=x³ and 6y=7-x² at (1,1) is

The following graph gives the functional relationship between distance and time of a moving car in m/sec. The speed of the car is

Which of the following is not elementory transformation?

If ∀n∈N, Let p(n) = 1 + 3 + 5 +....+(2n-1) = 3 + n2 then which of the following is true?

How many different signals can be given by using any number of flags from six flags of different colors?

If \(\left[\frac{\frac{\sqrt 3}{2}+(\frac{1}{2})i}{\frac{\sqrt 3}{2}-(\frac{1}{2})i}\right]^{120}=p+iq\), then

If every pair from among the equations x²+px+qr=0, x²+qx+rp=0 and x²+rx+pq=0 has a common root then the product of three common roots is

If z and \(\omega\) are non-zero complex numbers such that \(|z\omega|=1\) and \(arg(z)-arg(\omega)=\frac{\pi}{2}\), then \(\bar{z}\omega\) is equal to

If A and B are two sets such that n(A∪B) =36, n(A∩B)=16 and n(A-B)=15, then n(B) is equal to

If \(A=\begin{pmatrix}1&1\\1&1 \end{pmatrix}\) and \(n\epsilon N\) then Aⁿ is equal to

If a, b,c are sides of a triangle and \(\begin{vmatrix} a^2&b^2&c^2\\(a+1)^2&(b+1)^2&(c+1)^2 \\ (a-1)^2&(b-1)^2&(c-1)^2\end{vmatrix}=0\) then \(\triangle ABC\) is

The domain of definition of \(f(x)=\frac{\log_2(x+3)}{x^2+3x+2}\) is