Class 10
Solutions of Sample Papers for Class 10 Boards

Question 6 (Choice 1) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards

Last updated at April 16, 2024 by

XY and MN are the tangents drawn at the end points of the diameter DE of the circle with centre O. Prove that XY ∥ MN.

This question is similar to Ex 10.2, 9 Chapter 10 Class 10 - Circles

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Transcript

XY and MN are the tangents drawn at the end points of the diameter DE of the circle with centre O. Prove that XY ∥ MN. Given: XY & MN are tangents DE is the diameter To prove: XY ∥ MN Proof: Since Tangent is perpendicular to radius For lines XY and MN With transversal DE ∠ YDE = ∠ NED Thus, alternate interior angles are equal ∴ Lines must be parallel Hence, XY ∥ MN Hence proved

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo