Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centers is 4 cm. Find the length of the common chord.
The volume of a right circular cone is $9856 cm^3$. If the diameter of the base is 28 cm. Find slant height of the cone?
Under which of the following conditions are you most likely to fall sick?
(a) when you are taking examinations.
(b) when you have travelled by bus and train for two days
(c) when your friend is suffering from measles. Why?
Why moon revolves around the earth and not around the sun? As the force of attraction between the sun and moon is greater than the force of attraction between earth and moon.
In the given figure, a circle with center O is given in which a diameter AB bisects the chord CD at a point E such that $CE=E D=8 cm$ and $E B=4 cm$. Find the radius of the circle.
The figure formed by joining the mid-points of the sides of a quadrilateral $PQRS$ taken in order is a square if and only if,
(a) $P Q R S$ is a rhombus.
(b) diagonals of $P Q R S$ are perpendicular.
(c) diagonals of $P Q R S$ are equal and perpendicular.
(d) diagonals of $P Q R S$ are equal.