Home
Class 10
MATHS
If the ratio of length of two chords...

If the ratio of length of two chords PQ and RS of the circle with centre at O be 1 : 1 then `angle POQ : angle ROS ` = _________.

Text Solution

Verified by Experts

1:1 , since PQ : RS =` 1: 1 rArr ` the length of the chords are equal and equal chords are equal and equal chords subtend equal angles at the centre .
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THEOREMS RELATED TO CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 1 (Multiple choice questions)|4 Videos
  • THEOREMS RELATED TO CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 1 (Write true or false: )|2 Videos
  • THEOREMS RELATED TO CIRCLE

    CALCUTTA BOOK HOUSE|Exercise Example (B. Write true or false )|3 Videos
  • SPHERE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|36 Videos
  • THEOREMS RELATED TO CYCLIC QUADRILATERAL

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

Similar Questions

Explore conceptually related problems

The length of two chords AB and CD of a circle of centre O are equal and angleAOB = 60^@ , then angleCOD is _____

If two chords AB and AC of a circle with center at O lie in the opposite side of the radius OA, then angle OAB = angle OAC

Knowledge Check

  • The length of the chords AB and CD of the circle with centre at O equal . If angle AOB = 45^(@) , then angle COD will be.

    A
    `40^(@)`
    B
    `30^(@)`
    C
    `45^(@)`
    D
    `60^(@)`
  • The length of tow chords AB and CD of the circle with centre at O are equal . If angle AOB = 60^(@) , then the value of angle COD is .

    A
    `40^(@)`
    B
    `30^(@)`
    C
    `60^(@)`
    D
    `90^(@)`
  • If PQ be a diamter of a circle with centre at O and if PR= RQ, then the value of angle RPQ is

    A
    `30^(@)`
    B
    `90^(@)`
    C
    `60^(@)`
    D
    `45^(@)`
  • Similar Questions

    Explore conceptually related problems

    The lenghts of the chords PQ and RS of a circle with centre O are equal. If angle ROS be the central angle and angle RQS be the angle in circle, then angleROS = ________

    PQ is a chord of the circle with centre at O. Draw two tangents at P and Q respectively .

    Fill in the blanks AB and CD are two chords of same length of a circle with centre at O. Ratio of angleBAO and angleCDO is______.

    The lengths of the chords AB and AC of the circle with cenrtre at are equal. If angleAPB and angle AQC are two of its angle in circle, the a values of the angles are ___________

    The length of two chords AB and CD of a circle with its centre O are equal . If angle AOB 60^(@) and CD = 6cm then calculate the length of the radius of the circle .