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 ENGLISH|Exercise Problems From NCERT/exemplar|11 Videos

  • CIRCLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|32 Videos

  • ARITHMETIC PROGRESSION

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

  • CO-ORDINATE GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Short Answer Questions|10 Videos

Similar Questions

Explore conceptually related problems

In 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 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 given figure, PA and PB are tangents to a circle from an external point P such that PA=4 cm and angleBAC=135^(@). Find the length of dhord AB.

In the given figure AC is a tangent to the circle with centre O. If angleADB=55^(@) , find x and y. Give reason for your answer.

In the given figure, AB is diameter of a circle with centre O and AT is a tangent at angleAOQ=58^@ , find angleATQ .

If P T is a tangent at T to a circle whose centre is O and O P=17 c m , O T=8c m , Find the length of the tangent segment P T .

In Figure, O is the centre of the circle. Find /_B A C

In the giben figure, AB is the diameter of the circle, with centre O and AT is the tangent. Calculate the calue of x.

In the given figure O is the centre of the circle. Tangents at A and B meets at C. If angleACO=30^(@) , find angleAPB

In the given figure O is the centre of the circle. Tangents at A and B meets at C. If angleACO=30^(@) , find angleBCO