List of top Mathematics Questions

Let \(A=\begin{bmatrix}1&-2&1\\ -2&3&1\\ 1&1&5\end{bmatrix}\)verify that -
\((i)[adjA]^{-1}=adj(A^{-1})\)
\((ii)(A^{-1})^{-1}=A\)

It is given that at x = 1, the function x4−62x2+ax+9 attains its maximum value, on the interval [0, 2]. Find the value of a.

The mean of six numbers is 30. If one number is excluded, the mean of the remaining numbers is 29. The excluded number is

Discuss the continuity of the function f,where f is defined by
\(\left\{\begin{matrix} -2, &if\,x\leq-1 \\   2x,&if\,-1<x\leq 1 \\   2,&if\, x>1  \end{matrix}\right.\)

The greatest and least value of sin x cos x are

If coefficient of $x^4, x^5, x^6$ of  $(1 + x)^n$ are in A.P., then maximum value of n is equal to

If sin⁡(α+β)=6sin⁡(α−β) and k=tan⁡αtan⁡β, then, what is the value of k ?

Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. Choose the correct answer.
  A. R is reflexive and symmetric but not transitive.
  B. R is reflexive and transitive but not symmetric.
  C. R is symmetric and transitive but not reflexive.
  D. R is an equivalence relation. 

If $A = \begin{bmatrix}log\,x&-1\\ -log\,x&2\end{bmatrix}$ and if $det (A) = 2$, then the value of $x$ is equal to
The remainder when $2^{2016}$ is divided by $63$, is
Let $ A(1,-1,2) $ and $ B(2,3,-1) $ be two points. If a point $P$ divides $AB$ internally in the ratio $ 2:3, $ then the position vector of $P$ is
The number (101)100 – 1 is divisible by 
Directions: The following question has four choices, out of which one or more are correct.The internal bisector of ∠A of a triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and side AB at F. If a,b and c represent the sides of ΔABC, then
Directions: The following question has four choices, out of which one or more are correct.Let α=ai^+bj^+ck^,β=bi^+cj^+ak^ and y=ci^+aj^+bk^ be three co-planar vectors with a≠b andv=i^+j^+k^, Then v is perpendicular to
Which of the following properties are associative law ?
Suppose sin⁡2θ=cos⁡3θ, here 0<θ<π2 then what is the value of cos⁡2θ?
A→×B→=12AB, what is the angle between A and B?
If A = {1, 2, 3, 4}, B = {2, 3, 5, 6} and C = {3, 4, 6, 7}, then
If $f \left(z\right)=\frac{1-z^{3}}{1-z} ,$ where $z=x+iy$ with $z\ne1,$ then $Re\left\{\overline{f \left(z\right)}\right\}=0$ reduces to
Which of the drawings (a) to (d) show : 
\((a)\)

\((b)\)

\((c)\)

\((d)\)

(i) 2 × \(\frac{1}{5}\)
(ii) 2 × \(\frac{1}{2}\)
(iii) 3 × \(\frac{2}{3}\)
(iv) 3 × \(\frac{1}{4}\)
Order of [274310][543] is:
The area of the region bounded by the curve y=x2 and the line y=16 is:
The solution of the differential equation dydx=sec⁡(yx)+yx is:
Find z1z2, when z1=6+2i and z2=2−i.
If $ {{(\sqrt{5}+\sqrt{3}i)}^{33}}={{2}^{49}}z, $ then modulus of the complex number $z$ is equal to