List of top Mathematics Questions

Evaluate the integral: ∫12log⁡xdx
 The sequence log⁡ a, log⁡a2b,log⁡a3b2,……… is 
 If y=Ax+Bx2, then x2d2ydx2=
A coin is biased so that the head is 3 times as likely to occur as tail.If the coin is tossed twice,find the probability distribution of number of tails.
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
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
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
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 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
\(\lim\limits_{n \to \infty} (\frac{n}{n^2+1^2}+\frac{n}{n^2+2^2}+\frac{n}{n^2+3^2}+…+\frac{1}{5n})=\)
\(∫\frac{1}{x[6(logx)^2+7logx+2]}dx=\)
\(∫\frac{sin\frac{5x}{2'}}{sin\frac{x}{2}}dx=\)
\(\int\limits_1^5(|x-3|+|1-x|)dx\)=
The solution of \(e^{\frac{dy}{dx}} = x+1,y(0) =3\) is
If \(f(x) = x e^{x(1-x)}\) then f(x) is
The function \(x^x; x > 0\) is strictly increasing at
\(∫\frac{sinx}{3+4cos^2x}dx=\)