prove that the intercept of a tangent between two parallel
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Hi !
Qn. Prove that the intercept of a tangent between the pair of parallel tangents to a circle subtend a right angle at the centre of the circle
The answer has been attached .
InΔ AOB,
∠AOB+ ∠ CAO +∠ CBO = 180° [Angle sum property ]
∠ CAO +∠ CBO = 90°
HENCE,
∠AOB = 180 - [∠ CAO +∠ CBO]
= 180 - 90
= 90 °
Hope this helps you !
Qn. Prove that the intercept of a tangent between the pair of parallel tangents to a circle subtend a right angle at the centre of the circle
The answer has been attached .
InΔ AOB,
∠AOB+ ∠ CAO +∠ CBO = 180° [Angle sum property ]
∠ CAO +∠ CBO = 90°
HENCE,
∠AOB = 180 - [∠ CAO +∠ CBO]
= 180 - 90
= 90 °
Hope this helps you !
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THIS QUESTION IS IN EXERCISE 10.2 (QUESTION 9)
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