List of top Mathematics Questions asked in KCET

Let A = {2, 3, 4, 5, ...... 16, 17, 18}. Let R be the relation on the set A of ordered pairs of positive integers defined by (a, b) R (c, d) if and only if ad = bc for all (a, b), (c, d) in A x A. Then the number of ordered pairs of the equivalence class of (3, 2) is
Two finite sets have m and n elements respectively. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are
If $S_n$ stands for sum to n-terms of a G.P. with ‘a’ as the first term and ‘r’ as the common ratio then $S_n : S_{2n}$ is
A random variable X has the following probability distribution:
\(X\)012
\(P(X)\)\(\frac{25}{36}\)k\(\frac{1}{36}\)
If the mean of the random variable X is \(\frac{1}{3}\), then the variance is
The equation xy = 0 in three-dimensional space represents
The value of C in (0, 2) satisfying the mean value theorem for the function \(f(x)=x(x-1)^2, x∈[0,2]\) is equal to
If a random variable X follows the binomial distribution with parameters n = 5, p and P (X=2) =9P (X=3), then p is equal to
The plane containing the point (3, 2, 0) and the line \(\frac{x-3}{1}= \frac{y-6}{5}=\frac{z-4}{4}\) is
A die is thrown 10 times. The probability that an odd number will come up at least once is
Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5). Let z=4x+6y be the objective function.The minimum value of z occurs at
The vectors \(\overrightarrow {AB}=3\hat i+4\hat k\) and \(\overrightarrow {AC}=5\hat i-2\hat j+4\hat k\) are the sides of a △ABC. The length of the median through A is
The volume of the parallelopiped whose co-terminous edges are \(\hat j+\hat k,\hat i+\hat k\) and \(\hat i+\hat j\) is
Let \(\overrightarrow a\) and \(\overrightarrow b\) be two unit vectors and θ is the angle between them. Then \(\overrightarrow a +\overrightarrow  b\) is a unit vector if
If \(\overrightarrow a,\overrightarrow b,\overrightarrow c\) are three non-coplanar vectors and p,q,r are vectors defined by
\(\overrightarrow p=\frac{\overrightarrow a\times \overrightarrow c}{[\overrightarrow a\overrightarrow b\overrightarrow c]}\) ,\(\overrightarrow q=\frac{\overrightarrow c\times \overrightarrow a}{[\overrightarrow a\overrightarrow b\overrightarrow c]}\),\(\overrightarrow r=\frac{\overrightarrow a\times \overrightarrow b}{[\overrightarrow a\overrightarrow b\overrightarrow c]}\)then
\((\overrightarrow a+\overrightarrow b).\overrightarrow p+(\overrightarrow b+\overrightarrow c).\overrightarrow q+(\overrightarrow c+\overrightarrow a).\overrightarrow r\) is
If lines \(\frac{x-1}{-3}=\frac{y-2}{2k}=\frac{z-3}{2}\) and \(\frac{x-1}{3k}=\frac{y-5}{1}=\frac{z-6}{-5}\) are mutually perpendicular then k is equal to
The distance between the two planes 2x + 3y + 4z = 4 and 4x + 6y +8z = 12 is
The sine of the angle between the straight line \(\frac{x-2}{3}=\frac{y-3}{4}=\frac{4-z}{-5}\) are the plane 2x-2y+z=5 is
\(\lim\limits_{n \to \infty} (\frac{n}{n^2+1^2}+\frac{n}{n^2+2^2}+\frac{n}{n^2+3^2}+…+\frac{1}{5n})=\)
The solution of \(e^{\frac{dy}{dx}} = x+1,y(0) =3\) is
\(\int\limits_1^5(|x-3|+|1-x|)dx\)=
\(∫\frac{sin\frac{5x}{2'}}{sin\frac{x}{2}}dx=\)
\(∫\frac{1}{x[6(logx)^2+7logx+2]}dx=\)
The family of curves whose x and y intercepts of a tangent at any point are respectively double the x and y coordinates of that point is
The area of the region bounded by the line y = 3x and the curve y=x2 in sq. units is
The area of the region bounded by the line y = x and the curve y=x3 is