If a point moves in such a way that it satisfies some given geometric conditions at each instant during its motion, then the path traced out by the moving point is called its locus. A point that does not satisfy the given geometrical condition (or conditions) cannot lie on the locus. The Locus of a […]
The line of sight is the line drawn from the eye of an observer to the point in the object viewed by the observer. The angle of elevation of an object viewed is the angle formed by the line of sight with the horizontal when it is above the horizontal level, i.e., the case when
Circles having the same centre but with different radii are said to be concentric circles. Two circles are said to be equal or congruent if they have equal radii. A circle passing through all the vertices of a polygon is called a circumscribed circle of the polygon and its centre is called a circumcentre. The
If four quantities a, b, c, and d are such that the ratio a:b is equal to the ratio c:d then we say a, b, c, and d are in proportion. We express it by writing a:b:: c:d. Here, a and d are called extreme terms while b and c are called the middle terms.
An inequation is a mathematical statement that states that one quantity is not equal to the other. On transferring a positive term (the term in addition) from one side of an inequation to the other side, the sign of the term becomes negative. On transferring a negative term from one side of an inequation to