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In the given figure, AOB is a diameter ...

In the given figure, `AOB` is a diameter of a circle with centre `O` such that `AB` = `34` cm and `CD` is a chord of length `30` cm. Then, the distance of `CD` from `AB` is

A

`8 cm`

B

`15 cm`

C

`18 cm`

D

`6 cm`

Text Solution

Verified by Experts

The correct Answer is:
A
Join OC . Then, `OC` `=` radius `=` `17 cm`
`CL = (1)/(2) CD = ((1)/(2) xx30) cm = 15cm`
`OL^(2) = OC^(2) - CL^(2) = (17)^(2) - (15)^(2)= (17+15)(17-15)= (32 xx 2) = 64`
`implies OL = sqrt(64) = 8cm`
`:. ` distance of `CD` from `AB` `=` `8cm`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
  1. In the given figure, O is the centre of a circle and / ACB = 30^(@) ...

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  2. In the given figure, O is the centre of a circle. If angle OAB = 40^(@...

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  3. In the given figure, AOB is a diameter of a circle with centre O such...

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  4. AB and CD are two equal to chord of a circle with centre O such that ...

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  5. In the given figure, CD is the diameter of a circle with centre O and...

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  6. In the given figure, O is the centre of a circle and diameter AB bisec...

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  7. In the given figure, BOC is a diameter of a circle with centre O . If ...

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  8. In the given figure, AB is a chrod of a circle with centre O and AB is...

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  9. In the given figure, AB is a chord of a circle with centre O and BOC i...

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  10. In the given figure, Delta ABC and Delta DBC arre inscribed in a circ...

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  11. In the given figure, BOC is a diameter of a circle with centre O. If /...

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  12. In the given figure, O is the centre of a circle . If / OAC = 50^(@) t...

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  13. In the given figure, O is the centre of a circle in which / OBA = 20^(...

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  14. In the given figure, O is the centre of a circle. If / AOB = 100^(@) a...

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  15. In the given figure, O is the centre of a circle . The, / OAB = ?

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  16. In the given figure, O is the centre of a circle and / AOC = 120^(@) ....

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  17. In the given figure, O is the centre of a circle and / OAB=50^(@). The...

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  18. In the given figure, AB and CD are two intersecting chords of acircle...

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  19. In the given figure, O is the centre of a circle and chords AC and BD ...

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  20. In the given figure, O is the centre of a circle in which / OAB = 20^(...

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