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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

Slide17.JPG

Slide18.JPG

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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

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.