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In Fig. In this case, PQ is called a non-intersecting line with respect to the circle. In this case, we call the line PQ a secant of the circle. In this case, the line is called a tangent to the circle. A tangent to a circle is a straight line which touches the circle at only one point. The point where the tangent touches the circle is called point of contact of the tangent to the circle.
A tangent to a circle is a special case of a secant, when the two ends points of its corresponding chord coincides. Theorem: Tangent at any point on a circle is perpendicular to the radius through the point of contact. CB is the tangent to the given circle touching at A and OA is the radius.
The length of the segment of a tangent from an external point to the point of contact with the circle is called the length of the tangent. The lengths of tangents drawn from an external point to a circle are equal. Formulae Handbook for Class 10 Maths and Science. Solution: Class 10 Maths Circles Mind Map Introduction A circle is a set of all points in a plane at a fixed distance from a fixed point in a plane.
Line and a Circle In Fig. Coordinate Geometry Class 10 has total of four exercises consists of 33 Problems. The Questions related to finding the distance between two points using their coordinates, Area of Triangle, Line divided in Ratio Section Formula are important models in class 10 boards.
Introduction to Trigonometry Class 10 has total of four exercises consists of 27 Problems. The questions based on trigonometric ratios of specific angles, trigonometric identities and trigonometric ratios of complementary angles are the main topics you will learn in this chapter.
Some Applications of Trigonometry Class 10 has one exercise consists of 16 Problems. In this chapter, you will be studying about real life applications of trigonometry and questions are based on the practical applications of trigonometry. Circle Class 10 has total of two exercises consists of 17 Problems.
Understand concepts such as tangent, secant, number tangents from a point to a circle and more. Constructions Class 10 has total of four exercises consists of 14 Problems. The Questions are based on drawing tangents and draw similar triangles are important topics. Areas Related to Circles Class 10 has total of three exercises consists of 35 Problems.
Surface Areas and Volumes Class 10 has total of five exercises consists of 36 Problems. The problems are based on finding areas and volumes of different solids such as cube, cuboid and cylinder, frustum, combination of solids.
Statistics Class 10 has total of four exercises consists of 25 Problems. Problems related to find mean, mode or median of grouped data will be studied in this chapter. Solve questions by understanding the concept of cumulative frequency distribution. Probability Class 10 has total of two exercises consists of 30 Problems.
Questions based on the concept of theoretical probability will be studied in this chapter. Class 10 maths is having 15 chapters to learn by the students in this academic year.
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