Construction of a tangent from a point on the circle. Construction of a tangent from a point outside the circle. Construction of tangents to a given circle from an exterior point when the center of the circle is not known. Circle Constructions PDF Download PDF

Geometric figures, that have the same shape but may not have the same size, are said to be similar figures. Any two congruent figures are always similar but two similar figures need not necessarily be congruent. Two triangles which have the three angles of one triangle equal to the three angles of the other triangle

The method of finding the remainder without actually performing the process of division is called Remainder Theorem. Factorisation by Factor Theorem and Remainder Theorem PDF Download PDF

The business of receiving, safeguarding, and lending money is called banking. Bank is a financial institution that carries on the business of taking deposits, lending money, and providing other useful services to society. The maturity value is the amount returned to the depositor at the end of the period. It includes all deposits made every

Co-ordinate geometry is that branch of mathematics that creates geometry algebraically. Section formula is used to find the coordinates of a point that divides the line segment joining two given points in a given ratio. The mid-Point formula is used to find the coordinates of the mid-point of the line segment joining two given points.

Probability is a concept that numerically measures a degree of uncertainty and therefore of certainty of the occurrence of events. An action that results in one of several outcomes is called an experiment. An experiment is called random if it has more than one possible outcome and cannot be predicted or determined in advance. i.e.

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.