Co-ordinate Geometry is a method of analyzing geometrical shapes. It is one of the most scoring topics of the mathematics syllabus of IIT JEE and other engineering exams. Besides calculus, this is the only topic that can fetch you maximum marks. It is a vast topic and can further be divided into various parts like: 1. Straight Lines 2. Circle 3. Parabola 4. Ellipse 5. Hyperbola All these topics hold great importance from the examination point of view but the Straight Line and the Circle are the most important. These topics together fetch maximum questions in the JEE and moreover they are a prerequisite to conic sections as well.
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By definition, a straight line is the set of all points between and extending beyond two points. ... The two properties of straight lines in Euclidean geometry are that they have only one dimension, length, and they extend in two directions forever.
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A circle is the locus of all points equidistant from a central point. Definitions Related to Circles. arc: a curved line that is part of the circumference of a circle. chord: a line segment within a circle that touches 2 points on the circle.
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A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic sections are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.
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Equation of tangent and normal to the parabola y2 = 4ax. (i) Equation of ... Condition for the line y = mx + c to be a tangent to the conic sections.
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