List of top Mathematics Questions asked in KCET

If A and B are matrices of order 3 and |A| = 5, |B| = 3 then |3AB| is
Let M be 2 × 2 symmetric matrix with integer entries, then M is invertible if
If \(A=\begin{bmatrix}     1 & -2 & 1 \\     2 & 1 & 3 \\ \end{bmatrix}\ B=\begin{bmatrix}     2 & 1 \\     3 & 2 \\     1 & 1 \\ \end{bmatrix}\) then (AB)' is equal to
\(\cos[\cot^{-1}(-\sqrt3)+\frac{\pi}{6}]=\)
Domain of the function f(x) = \(\frac{1}{\sqrt{[x]^2-[x]-6}}\) where [x] is greatest integer ≤ x is
The function f(x) = \(\sqrt3\) sin2x - cos2x + 4 is one-one in the interval
Let A = { x : x ∈ R; x is not a positive integer } Define f : A → R as f(x) = \(\frac{2x}{x-1}\), then f is
f : R → R defined by f(x) = \(\left\{ \begin{aligned}     & 2x;x>3 \\     &x^2;1<x≤3\\     & 3x;x≤1 \end{aligned} \right.\) then f(-2) + f(3) + f(4) is
If P(A) = 0.59, P(B) = 0.30 and P(A ∩ B) = 0.21 then P( A' ∩ B') =
The Standard Deviation of the numbers 31, 32, 33……. 46, 47 is
If a and b are fixed non-zero constants, then the derivative of \(\frac{a}{x^4}-\frac{b}{x^2}\) + cos x is ma + nb - p where
Consider the following statements :
Statement 1 : \(\lim\limits_{x\rightarrow1}\frac{ax^2+bx+c}{cx^2+bx+a}\) is 1 (where a + b + c ≠ 0)
Statement 2 : \(\lim\limits_{x\rightarrow-2}\frac{\frac{1}{x}+\frac{1}{2}}{x+2}\) is \(\frac{1}{4}\)
The mid points of the sides of triangle are (1, 5, -1) (0, 4, -2) and (2, 3, 4) then centroid of the triangle
The equation of straight line which passes through the point (a cos3θ, a sin3θ) and perpendicular to x secθ+y cosecθ = a is
If the middle term of the A.P is 300 then the sum of its first 51 terms is
A student has to answer 10 questions, choosing at least 4 from each of the parts A and B. If there are 6 questions in part A and 7 in part B, then the number of ways can the student choose 10 questions is
The cost and revenue functions of a product are given by c(x) = 20x + 4000 and R(x) = 60x + 2000 respectively where x is the number of items produced and sold. The value of x to earn profit is
If \((\frac{1+i}{1-i})^x=1\) then
The value of tan 1° tan 2° tan 3° ………. tan 89° is
The value of cos 1200° + tan 1485° is
Domain of f(x) = \(\frac{x}{|-|x|}\) is
A and B are non-singleton sets and n(A × B) = 35. If B ⊂ A then n(A)Cn(B) =
In a certain two 65% families own cell phones, 15000 families own scooter and 15% families own both. Taking into consideration that the families own at least one of the two, the total number of families in the town is
\(\tan^{-1}[\frac{1}{\sqrt3}\sin\frac{5\pi}{2}]\sin^{-1}[\cos(\sin^{-1}\frac{\sqrt3}{2})]=\)
The equation of the line joining the points $(-3,4,11)$ and $(1,-2,7)$ is