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Theorem 10.1 : The tangent at any point of a circle is perpendicular to the radius through the point of contact. Proof : We are given a circle with centre O and a tangent XY to the circle at a
Thus, the two important theorems in Class 10 Maths Chapter 10 Circles are: Theorem 10.1: The tangent at any point of a circle is perpendicular to the radius through the point of contact. Theorem 10.2: The lengths of tangents drawn from an external point to a circle are equal.
Apr 19, 2023 · Theorem 1: Prove that the tangent at any point of a circle is perpendicular to the radius through the point of contact. Given: XY is a tangent at point P to the circle with centre O. To prove: OP ⊥ XY. Construction: Take a point Q on XY other than P and join OQ.
Download Circles CBSE Class 10 Maths Chapter 10 notes PDF for free. Secure good marks by referring NCERT Class 10 Circles revision notes prepared by Vedantu experts.
Introduction to Circles. Circle and line in a plane. For a circle and a line on a plane, there can be possibilities. they can be. they can have. - in this case, the line touches the circle. ii) they can have - in this case, the line cuts the circle. (i) Non intersecting (ii) Touching (iii) Intersecting. Tangent.
circle into 10 equal sectors as shown in Fig. 11.9. Find : (i) the total length of the silver wire required. (ii) the area of each sector of the brooch. 10. An umbrella has 8 ribs which are equally spaced (see Fig. 11.10). Assuming umbrella to be a flat circle of radius 45 cm, find the area between the two consecutive ribs of the umbrella. 11.
NCERT Solutions for Class 10 Maths Chapter 10 Circles in PDF format can be obtained for free in PDF format at BYJU'S. These Class 10 NCERT Solutions are updated to the CBSE Syllabus (2023-24) of the board exam.
THEOREMS RELATED TO TANGENT TO A CIRCLE THEOREM 1. The tangent at any point of a circle is perpendicular to the radius through the point of contact. We have given a circle with centre 0 and a tangent XY to the circle at a point P then OP is perpendicular to XY. THEOREM 2. The lengths of tangents drawn from an external point to a circle are equal.
A circle can be defined as a closed plane geometric shape where the locus of a point moves around a fixed point at a fixed gap such that the outline is equidistant from the center point. The chapter starts by elaborating on the position of a line with respect to a circle and how they are related.
Nov 7, 2023 · Prepare from the NCERT Class 10 Chapter 10 Books PDF download as they contain all sets of questions so that you can have a strong foundation of basics. Try practicing the previous papers and sample questions attached in the NCERT Books of Class 10th Maths Circles to solve the questions in your exam easily.
