Home
Class 10
MATHS
In the given figure, PQ is a chord of a ...

In the given figure, PQ is a chord of a circle with centre O and PT is a tangent. If `/_QPT=60^@` find `/_PRQ`

Text Solution

Verified by Experts

In the given figure,
`/_QPT = 60^@`
`/_QPO = /_OPT-/_QPT = 90-60 = 30^@`
As, `OP = OQ`,
`:. /_OPQ =/_OQP = 30^@`
`:. /_POQ = 180-30-30 = 120^@`
Now, `/_PRQ = 1/2(360-/_POQ) = 240/2 = 120^@`
Promotional Banner

Similar Questions

Explore conceptually related problems

In Figure PQ is a chord of a circle with centre O and PT is a tangent. If QPT =60^@ so, find PRQ.

In the figure,PQ is a chord of a circle with centre O and PT is the tangent at P such that /_QPT=70^(@). Then the measure of /_PRQ is equal to : (A) 135^(@) (B) 150^(@) (C) 120^(@) (D) 110^(@)

In the figure, PQ is a chord of a circle and PT is the tangent at P such that |__QPT=60^(@) . Find |__PRQ .

In the figure PT is a tangent to the circle with centre 'O' then x =

In the adjoining figure, PQ is a chord of a circle and PT is the tangent at P such that angleQPT=60^(@). Find anglePRQ.

In the adjoining figure, PQ is a chord of a circle and PT is the tangent at P such that angleQPT=60^(@). Find anglePRQ.

In the given figure, AB is a tangent to a circle with centre O. Prove angle BPQ = angle PRQ .

In the given figure,AB is a tangent to a circle with centre.Prove that /_BPQ=/_PRQ If /_BPQ=60^(@), find /_RPQ.