Prove that the tangents drawn at the ends of a diameter of a circle are parallel.... | VSA 2m | Maths | SuperPadhai

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VSA2 marksYear: 2024EasyCBSE Class 10

circlestangentsparallel-linesproof

Question

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

Solution

1

$Circle with diameter AB, tangent PQ at B and tangent XY at A$

Circle with diameter AB, tangent PQ at B and tangent XY at A

+0.5 marks

2

∠ O A Y = ∠ OBP = 90°

(radius

⊥

tangent)

+0.5 marks

3

They are forming alternate interior angles, therefore

PQ ∥ X Y

+1 mark

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