problems involving geometry

If M(x,y) is the midpoint of the join of P(x 1 ,y 1 ) and Q(x 2 ,y 2 ), then If A(x 1 ,y 1 ), B(x 2 ,y 2 ) and C(x 3 ,y 3 ) are the vertices of a triangle, then Centroid = Incentre = where a = BC, b = CA, c = AB When a point moves so as to always satisfy a given condition or conditions, the path it..

>The circumcentre of a triangle is the point of concurrence of the right bisectors of the sides of the triangle. The length of perpendicular of the point (x 1 ,y 1 ) from the straight line ax + by + c = 0 is equal to A set of lines satisfying a given condition is called a family of lines. A family ..

a) Given an equation, to find the corresponding locus. b) Given a locus under some geometrical condition to determine the corresponding equation. The following properties of the curve will be very helpful in determining the full form of locus equation. i) Intercept: The intercept of a curve are th..

Introduction - Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babylonians studied in a systematic wa..

Prove that AP = BQ (see the figure). and AQ = BP AP = BQ ..

The word 'geometry' is derived from the Greek words 'geo' meaning 'earth' and 'metron', meaning 'measuring'. Geometry originated when man felt the need to measure his land. Ancient Egyptians were perhaps the first people to study geometry. Later, the Babyloni..

Fundamental concepts of Geometry..

Geometry deals with the study of shape, size, position and other properties of objects in a plane or in spa..

Rene' Descartes' (1596-1665), a French philosopher and mathematician, introduced a method by which the position of a point can be corresponded with an ordered pair of real numbers. These pair of real numbers are called the Coordinates. This method is the new idea of combining two branches of mathe..