INTERVALS

(1) Closed Interval: Let a and b are two given real numbers such that , then (2) Open Interval: Let a and b are two given real numbers such that then or (3) Closed-open Interval: Let a and b are two given real numbers such that , then (4) Open-closed Interval: Let a and b […]

SUBSETS

SUBSET: A set P is said to be a subset of a set Q if each element of P is also an element of Q. If P is subset of Q, we write PROPER SUBSET: If and then P is called a proper subset of Q and we write Example: Consider and Here, but Every […]

RADIUS AND CENTRE OF CIRCLE

If the equation of circle is Then center = (–g, –f) and radius                   Or If the equation of circle is  By completing square,                                                         Example1: Find the centre and radius of the circle Solution: Comparing the given equation with the standard equation,   and c = 9 Centre Radius Therefore the circle has […]