Roots of x^3 +px+q=0
are x = u+v
u^3 , v^3 are roots of
z^2 −α^3 z+β^6 =0
((d^2 (y/x))/dx^2 )∣_(x=α) =0 , (dy/dx)∣_(x=β) =0 .
I have noticed long way back,
please hunt why (how come) ?
A group of n students are numbered
continously from first sdtudent as 1,2,3,......
If 1101 digits had to be used in all,what is the
number of students in the group
4 metal rods of length 78 cm,104 cm,117cm,
a.nd 169 cm are to be cut into parts of equal length
Each length must be as long as possible
What is the maximum number of pieces
that can be cut?
2 plane parallel conducting plates are
held horizontal,one above the other in
a vacuum.Electrons having a speed of
6×10^6 m/s and moves normally to the
plates enter the region between them
through a hole in the lower plate which
is earthed.What potential must be
applied to the other plate so that the
electrons just fails to reach it?What
is the subsequent motion of these
electrons?
(ratio of charge to mass of electron=
1.8×10^(11) Ckg^(−1) )