Basic Ideas of Co-ordinate Geometry

Submitted by pradipta pramanik on Sat, 02/26/2011 - 17:17

Co-ordinate Geometry

Basic Ideas : Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar coordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes, concept of locus, elementary locus problems.

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Co-ordinate Geometry: Parabola

Parabola :Standard equation. Reduction of the form x = ay²+by+c or y = ax²+bx+c to the standard form y² = 4ax or x² = 4ay respectively. Elementary properties and parametric equation of a parabola.

Co-ordinate Geometry: Ellipse and Hyperbola

Ellipse and Hyperbola : Reduction to standard form of general equation of second degree when xy term is absent. Conjugate hyperbola. Simple properties. Parametric equations. Location of a point with respect to a conic.

Co-ordinate Geometry: Straight line

Straight line : Slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two parallel lines.

Trigonometry

Trigonometry

Trigonometric ratios, compound angles, multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions. Co-ordinate geometry of two dimensions

Probability

Probability : Classical definition, addition rule, conditional probability and Bayes’ theorem, independence, multiplication rule.