Home
Class 10
MATHS
In the giben figure, AT is a tangent to ...

In the giben figure, AT is a tangent to the circle with centre O such that OT = 4 cm and `anglePTA=30^(@)`. Find the length of segment AT.

Text Solution

Verified by Experts

In right `triangleOAT,`
`cos30^(@)=(AT)/(OT)`
`implies" "(sqrt(3))/(2)=(AT)/(4)" "impliesAT=2sqrt(3)cm`
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|11 Videos

  • CIRCLES

    NAGEEN PRAKASHAN|Exercise Exercise|25 Videos

  • ARITHMETIC PROGRESSION

    NAGEEN PRAKASHAN|Exercise Revision Exercise Long Answer Question|5 Videos

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN|Exercise Revision Exercise Short Answer Questions|9 Videos

Similar Questions

Explore conceptually related problems

AT is a tangent to circle with centres such that OT = 4 cm and angle OTA = 30^(@). Find the length of AT.

In the given figure ,AT is a tangent to the circle with centre O such that OT =4 cm and angleOTA=30^(@) .Then AT is equal to :

In figure, AT is a tangent to the circle with centre 0 such that OT = 4 cm and angleOTA=30^(@) . Then, AT is equal to

In Fig PT is a tangent to the circle (O,r) such that OT = 6sqrt3 units and angleOTP = 30^@ Find the length of PT.

In the given figure, PT is a tangent to the circle with centre O. If OT=6cm and OP=10cm, thcn find the length of tangent PT.

In the figure RQ is a tangent to the circle with centre O. If SQ=6cm, QR=4cm, find OR.

In fig. PQ is a tangent to length 6cm to the circle with centre O and angle OQP=60^@ . Find OQ

AP is tangent to the circle with centre O at point A. OP =10 cm and /_ OPA = 30^(@) . The radiu of the circle is

In the given figure, PQ is a tangent at a point R of the circle with centre O. If angle TRQ = 30^(@) , then angle PRS is equal to