Three equal charges +q are placed at the three vertices of an equilateral triangle centered at the origin. They
are held in equilibrium by a restoring force of magnitude F(r) = kr directed towards the origin, where k is a
constant. What is the distance of the three charges from the origin ?
certain planet completes one rotation about its axis in time T. The weight of an object placed at the equator
on the planet's surface is a fraction f (f is close to unity) of its weight recorded at a latitude of 60º. The
density of the planet (assumed to be a uniform perfect sphere is given by-
A ball is dropped vertically from a height of h onto a hard surface. If the ball rebounds from the surface with
a fraction r of the speed with which it strikes the latter on each impact, what is the net distance traveled by
the ball up to the 10th impact
Let ABC be a triangle and P be a point inside ABC such that PA 2PB 3PC 0
r
+ + = . The ratio of the area of
triangle ABC to that of APC is-
(A) 2 (B)
2
3 (C)
3
5 (D) 3
Let f : R → R be a continuous function satisfying f(x) = x + ∫
x
0
f (t) dt , for all x ∈ R. Then the number of
elements in the set S = {x ∈ R ; f(x) = 0} is-
Let V1 be the volume of a given right circular cone with O as the centre of the base and A as its apex. Let V2
be the maximum volume of the right circular cone inscribed in the given cone whose apex is O and whose
base is parallel to the base of the given cone. Then the ratio V2/V1 is-
Among all cyclic quadrilaterals inscribed in a circle of radius R with one of its angles equal to 120º.
Consider the one with maximum possible area. Its area is
mathematics never dies because it always stays in the minds and souls of people who love mathematics.
Those people will not let maths die instead they will die.................
D . kalyan kumar
Each and every person in this world are having "constant mind"...DIFFERENTIATE others mind and INTEGRATE urs.MATHEMATICS SIMPLY MAKES YOU UNSTOPPABLE !!!