Prove that:
(a) If ∣z_1 + z_2 ∣ = ∣z_1 − z_2 ∣, the difference of the arguements of z_1
and z_2 is (π/2)
(b) If arg{((z_1 + z_2 )/(z_1 − z_2 ))} = (π/2) , then ∣z_1 ∣ = ∣z_2 ∣
Show that the equation
of tangent to the ellipse
(x^2 /a^2 )+(y^2 /b^2 )=1 at the end of
lactus rectum which
lie in the 1^(st) quadrant is
xe+y−a=0
∗merry X−mas and happy new year∗
Two hot cubes are at same
temperature and
both are cooled by forced
convetion the cube are made
from the same material
but one has side of L metre
and other one 2L metre.
which cube is at quicker
rate of cooling
A ball is bouncing down
a flight of stairs.The
coefficiate of restitution
is e.The height of each step
d and the ball descends
one step at each bounce.
After each bounce it rebounds
to heigt h above the next
lower step.The height h is/
large enough compare with
width of a step that
the empacts are effectively
head on.show that
h=(d/(1−e^2 ))
Two similar spherical
bodies of radius R and 2R
are initially are at same
temperature.if they are
kept to cool under the same
condition.show qualitatively
which of the two spherical
body will cool faster.