-
x^2 - a*x + b = 0 x^2 - b*x + a = 0 Both these equations have positive,integral and distinct roots. Find a and b. ...
-
\hspace{-16}\bf{\sum_{n=1}^{\infty}\;\sum_{m=1}^{\infty}\frac{m.n}{(m+n)!}}= ...
-
A particle slides from the top down the outside smooth surface of a fixed sphere of radius 'R'. When the particle is at its highest position, what velocity in the horizontal direction should be imparted to it , so that it lea ...
-
A 40 kg. mass hanging at the end of rope of length 'l' oscillates in a vertical plane with an angular amplitude 'x'. What is the tension in the rope , when it makes an angle 'y' with the vertical? If the breaking strength of ...
-
Consider a n*n chessboard. A person moves along the lines of the chessboard such that the sum in the y axis is greater than or equal to the sum in the x axis. Find the number of ways of going from one corner to the other corn ...
-
A mass 'm' is undergoing S.H.M. in the vertical direction about the mean position 'x' with amplitude 'A' and angular freq. \omega . At a distance y from the mean position, the mass detaches from the spring. Assuming that the ...
