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Introduction to circles and Exercise 10.1 [fully solved] Learn Fundamentals of Circles and solve Exercise 10.1 within 9 minutes 👩🏫 What will you learn? 1. Definition of circle [0:07] 2. Different situations that arise when a circle and a line are in a plane [0:36] 3. Tangent and it's properties [1:46] 4. Theorem 10.1 on Tangent to a circle [2:33] 5. Exercise 10.1 of class 10th [3:10] Definition of circle A circle is a collection of all points in a plane which are at a constant distance (radius) from a fixed point (center). Different situations that can arise when a circle and a line are given in a plane. [0:36] (i) The line PQ and the circle have no common point. In this case, PQ is called a non-intersecting line with respect to the circle. (ii) There are two common points A and B that the line PQ and the circle have. PQ a secant of the circle. (iii) There is only one point A which is common to the line PQ and the circle line is called a tangent to the circle. Tangent to a Circle A tangent to a circle is a line that intersects the circle at only one point. There is only one tangent at a point of the circle. The tangent to a circle is a special case of the secant, when the two end points of its corresponding chord coincide. The common point of the tangent and the circle is called the point of contact and the tangent is said to touch the circle at the common point Theorem 10.1 on Tangent to a circle The tangent at any point of a circle is perpendicular to the radius through the point of contact Exercise 10.1 class 10 1. How many tangents can a circle have? 2. Fill in the blanks : (i) A tangent to a circle intersects it in point (s). (ii) A line intersecting a circle in two points is called a . (iii) A circle can have parallel tangents at the most. (iv) The common point of a tangent to a circle and the circle is called . 3. A tangent PQ at a point P of a circle of radius 5 cm meets a line through the center O at a point Q so that OQ = 12 cm. Length PQ is : (A) 12 cm (B) 13 cm (C) 8.5 cm (D) 119 cm. 4. Draw a circle and two lines parallel to a given line such that one is a tangent and the other, a secant to the circle. Note📝 The above question is taken from NCERT class 10 chapter Circles exercise 10.1 . Revise✍🏻: Real Numbers: • Real Numbers - Class 10th Polynomials • Polynomials- Class 10th Quadratic Equation • Quadratic Equations- Class 10th Trigonometry • Trigonometry - Class 10th Connect with us 🤩: INSTAGRAM: https://instagram.com/rnh__academy?ig... FACEBOOK: / rndh.academy #circles #class10maths #ncert