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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CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]
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CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2]
Last updated at Jan. 28, 2022 by Teachoo
This question is similar to Ex 10.2, 9 Chapter 10 Class 10 - Circles
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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. 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