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In the given figure, BOC is a diameter o...

In the given figure, `BOC` is a diameter of a circle with centre `O` . If `AB` and `CD` are two chords such that `AB || CD` and `AB` `=` `10 cm` then `CD` `= ?`

A

`5 cm`

B

`12.5 cm`

C

`15 cm`

D

`10 cm`

Text Solution

Verified by Experts

The correct Answer is:
D
Draw `OE _|_ AB` and `OF _|_ CD`
Then, `Delta OEB ~=DeltaOFC`
`[:' OB = OC =r, /_ BOE = /_ COE` ( vert. opp. `/_s ) ` and `/_ OEB = /_ OFC = 90^(@)] `
`:. OE = OF`.
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
  1. In the given figure, CD is the diameter of a circle with centre O and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. In the given figure, AOB is a diameter and ABCD is a cyclic quadrilate...

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  18. In the given figure, ABCD is a cyclic quadrilateral in which AB || DC ...

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  19. In the given figure, O is the centre of a circle and/ AOC = 130^(@) . ...

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  20. In the given figure, AOB is a diameter of a circle and CD||AB . If / ...

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