Recent questions in Mathematics

The integral $\large\int ($ $1+x- \large\frac{1}{x})$ $e^{x+\large\frac{1}{x}}$ $dx$ is equal to

asked Apr 6, 2014 by balaji.thirumalai

0 answers

If $A$ is an $3\times 3$ non-singular matrix such that $A A' = A' A$ and $B = A^{-1} A'$ , then $B B'$ equals

asked Apr 6, 2014 by balaji.thirumalai

0 answers

The statement $\sim(p \leftrightarrow \sim q)$ is

asked Apr 6, 2014 by balaji.thirumalai

1 answer

The integral $\Large \int \limits_{\normalsize 0}^{\normalsize \pi}$ $\sqrt{1 + 4 \sin^2\large\frac{x}{2} \normalsize- \normalsize 4 \normalsize\sin \large\frac{x}{2}}$ $\;dx$

asked Apr 6, 2014 by balaji.thirumalai

0 answers

A bird is sitting on top of a vertical pole 20m high and its elevation from point O on the ground is 45 $^{\circ}$ . It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30 $^{\circ}$ . Then the speed in m/s of the bird is?

asked Apr 6, 2014 by balaji.thirumalai

0 answers

The variance of the first 50 even natural numbers is:

asked Apr 6, 2014 by balaji.thirumalai

1 answer

If $\large[$ $\vec{a} \times \vec{b}\; \vec{b} \times \vec{c}\; \vec{c} \times \vec{a}$ $\large]$ $=\lambda \large[$ $\vec{a}\vec{b}\vec{c}\large]$ $^2$ , then $\lambda$ is equal to:

asked Apr 6, 2014 by balaji.thirumalai

0 answers

If $a\in R$ and the equation $-3 (x-[x])^2 + 2(x-[x])+a^2 = 0$ , (where $[x]$ denotes the greatest integer $\leq x$ ) has no integral solution, then all possible values lie in the interval:

asked Apr 6, 2014 by balaji.thirumalai

0 answers

If the coefficients of $x^3$ and $x^5$ in the expansion of $(1+ax+bx^2)(1-2x)^{18}$ in powers of $x$ are both zero, then $(a,b)$ is equal to:

asked Apr 6, 2014 by balaji.thirumalai

0 answers

The image of the line $\large\frac{x-1}{3}$ $=$ $\large\frac{y-3}{1}$ $=$ $\large\frac{z-4}{-5}$ in the place $2x-y+z+3=0$ is the line:

asked Apr 6, 2014 by balaji.thirumalai

0 answers

A local TV company produced a batch of 100 TVs. Four of the TVs are defective. What is the probability a customer randomly selects three good TVs ?

asked Apr 2, 2014 by balaji.thirumalai

1 answer

There are 10 cinema tickets with seat number from 1 to 10 in a row. Ram and Shyam are friends and they do not want to be apart. If they are asked to randomly pick up their tickets, what is the probability for Ram and Shyam to sit next to each other?

asked Apr 2, 2014 by balaji.thirumalai

1 answer

What is the probability that a leap year chosen at random will have 53 Sundays?

asked Apr 2, 2014 by balaji.thirumalai

1 answer

Find the angle of intersection of two circles?

asked Mar 27, 2014 by balaji.thirumalai

1 answer

For two variables $x$ and $y$ with the same mean the two regression lines are $x+2y-5=0$ $2x+3y-8=0$ and variance $(x)=12$ Then $\sigma_y$ is

asked Mar 26, 2014 by balaji

1 answer

The function $f(x)=\large\frac{|x|}{x^2+2x}\qquad$ $x\neq 0$ and $f(0)=0$ is not continuous at $x=0$ because

asked Mar 26, 2014 by balaji

1 answer

Integrate : $\int \large\frac{ax^3+bx+c}{\sqrt x}$ $dx$

asked Mar 26, 2014 by balaji.thirumalai

1 answer

Find the equation of normal in slope form for the hyperbola?

asked Mar 26, 2014 by balaji.thirumalai

1 answer

The radius of general equation of circle is

asked Mar 25, 2014 by balaji.thirumalai

1 answer

Find the centre and radius of the circle $2x^2+2y^2-8x-7y=0$

asked Mar 21, 2014 by balaji.thirumalai

1 answer