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Coordinate Geometry

APT

Section Formula

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Section FormulaLet A and B be two points in the plane of the paper as shown in fig. and P be a point on the segment joining A and B such that AP : BP = m : n. Then, the point P divides segment AB internally in the ratio m : n. If P is a…
APT

Area Of A Triangle

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Area Of A TriangleThe area of a triangle, the coordinates of whose vertices are (x1, y1), (x2, y2) and (x3, y3) is (frac { 1 }{ 2 }) | x1 (y2 – y3) + x2 (y3 – y1) + x3 (y1 – y2) | Remark: The area of ∆ABC can also be computed by using the…
APT

Distance Between Two Points

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Distance Between Two PointsDistance Between Two Points Formula(1) Distance between two points on X-axis : The coordinate axes in the coordinate plane can be treated as number lines. If P(x1, 0) and Q(x2, 0) are two points on X-axis, the…
APT

Preparing Proofs in Coordinate Geometry

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Preparing Proofs in Coordinate GeometryIn the seventeenth century, the French mathematician Rene Descartes applied algebraic principles to geometric situations. This blending of algebra and geometry is referred to as analytic geometry.…