Home
Class 10
MATHS
AOB is diamter of a circle, If AC=3 cm ...

AOB is diamter of a circle, If AC=3 cm and BC=4 cm then the length of AB is

A

3 cm

B

4 cm

C

5 cm

D

8 cm

Text Solution

Verified by Experts

The correct Answer is:
C
AOB is a diameter of the circle with centre at `O :.angleACB` is an angle is semicricle
`angle ACB=90^(@)`
`:.` from the right-angled triangle ABC by Pythagoras theorem we get, `AB^(2)= AC^(2)+BC^(2)=3^(2)+4^(2)=25[ :. AC=3 cm and BC= 4 cm] :. AB= sqrt(25) =5`
`:.` the lenght of `AB= 5 cm. rArr (c)` is correct
Promotional Banner

Topper's Solved these Questions

  • THEOREMS RELATED TO ANGLES IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (True or False|2 Videos

  • THEOREMS RELATED TO ANGLES IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXAMPLES (Fill in the blanks)|9 Videos

  • THEOREMS RELATED TO CYCLIC QUADRILATERAL

    CALCUTTA BOOK HOUSE|Exercise Long -answer type questions (L.A.)|12 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

Similar Questions

Explore conceptually related problems

A line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points x and Y respectively. If AX=2.4cm , AY=3.2cm and YC=4.8cm , then the length of AB is

Multiple Choice Questions (MCQ) AOB is a diameter of the circle with centre at O. CD is a chord of a circle and OE bot CD . If DC = 8cm and OE = 3cm. Then the length of AOB is

The tangent drawn from an extenral point A of the circle with centre C touches the circle at B. If BC =5 cm, AC=13 cm, then the length of AB=

Two chords AB and AC of a circle are mutually perpendicular to each other. If AB = 4 cm and AC = 3 cm, find the length of the radius of the circle.

In triangleABC, angleA = 90^@ . The perpendicular from A upon BC meets. BC at D. If BC = 9cm., BD = 4cm., then the length of AB is

Chords AB and CD of a circle intersect externally at P. If AB = 6 cm, CD = 3 am and PD = 5 cm, then the length of PB is ____

In the circle of adjoining figure with its centre at O , OP bot AB, if AB = 6 cm and PC = 2 cm the find the length of radius of the circle .

AOB is a diamter of a circle with centreO, C is any point on the circle If AC = 6cm and BC = 8cm then AB=