P- Q-R-S-T are points on a circle with centre O so that - P T Q-2 - R T S and PQ -undefined RS- Find - S O Q- if P- O- Q are in a straight line

The correct option is A 45o lt;PTQ= 90 (angle in a semi circle) , hence lt; RTS = 45. lt; ROS = 90 ( Inscribed angle= 2 *Angle at circumference) OR=OS ...

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Standard IV

Mathematics

Chords

P, Q,R,S,T ar...

Question

P,Q,R,S,T are points on a circle with centre O so that ∠PTQ= 2 x ∠RTS and PQ %undefined RS. Find ∠ SOQ, if P,O,Q are in a straight line

45^o

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90^o

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60 ^o

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30 ^o

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Solution

The correct option is A 45^o

<PTQ= 90 (angle in a semi circle)

, hence < RTS = 45.

< ROS = 90 ( Inscribed angle= 2 *Angle at circumference)

OR=OS=OR (radius)

<RSO = <SOQ= 45⁰ (interior alternate angles)

Option (a)

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P,Q,R,S,T are points on a circle with centre O so that ∠PTQ= 2 x ∠RTS and PQ %undefined RS. Find ∠ SOQ, if P,O,Q are in a straight line

The correct option is A 45o <PTQ= 90 (angle in a semi circle) , hence < RTS = 45. < ROS = 90 ( Inscribed angle= 2 *Angle at circumference) OR=OS=OR (radius) <RSO = <SOQ= 450 (interior alternate angles) Option (a)

The correct option is A 45^o

<PTQ= 90 (angle in a semi circle)

, hence < RTS = 45.

< ROS = 90 ( Inscribed angle= 2 *Angle at circumference)

OR=OS=OR (radius)

<RSO = <SOQ= 45⁰ (interior alternate angles)

Option (a)