Revision Notes of Chapter 10 Circles Class 9th Math Topics in the Chapter Terms related to Circles Fundamentals of Circles Theorems Terms Related to Circles The locus of a point which moves in a plane in such a manner that its distance from a given fixed point is always constant, is called a circle . The fixed point is called the centre and constant distance is called the radius of the circle. In the figure, ‘O’ is centre and OP = r is a radius. We denote it by C(O, r). A line segment, terminating (or having its end points) on the circle is called a chord . A chord, passing through the centre is called a diameter of the circle. A line which intersects a circle in two distinct points is called a secant of the circle. A line intersecting the circle in exactly one point is called a tangent to the circle. In the figure, PQ is a chord, AB is a diameter, XY is a secant and ST is a tangent to the circle a...
Revision Notes for Ch 9 Some Application of Trigonometry Class 10th Mathematics Introduction → This chapter is an application of trigonometry. In trigonometry, we use to measure sides of triangle, when particular angle was given. Most the buildings, walls, towers we see around are perpendicular to ground. The chapter deals with measurement of heights and distance from certain points with the help of trigonometry if particular angles are known. Line of Sight: When an observer looks from a point O at an object A, then OA is called line of sight. Angle of Elevation: Suppose that from a point O, you look up at point A, then the angle, the which the line of sight makes with the horizontal line through O is called the angle of elevation of A, as we seen from O. Here OX is horizontal line. is here angle of elevation. Angle of depression: Suppose that from the point O, you look down at an object B, placed below the level of your eye. Then the angle which the line o...
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