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In the given figure, `AB` is a chrod of a circle with centre `O` and `AB` is produced to `C` such that `BC` `=` `OB.` Also, `CO` is joined and produced to meet the circle in `D`. If `/_ ACD =25^(@)` then `/_ AOD = ?`

A

`50^(@)`

B

`75^(@)`

C

`90^(@)`

D

`100^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`OB=BC implies /_ BOC= /_BCO = 25^(@)`
Ext. `/_ OBA = /_ BOC + /_ BCO = 25^(@)+ 25^(@) = 50^(@)`
`OA=OBimplies /_OAB = /_ OBA = 50^(@)`
In `Delta AOC `, side `CO` has been produced to `D.`
`:. ` ext. `/_ AOD = /_ OAC + /_ ACO = /_OAB + /_ BCO = 50^(@) + 25^(@) = 75^(@)`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
  1. In the given figure, O is the centre of a circle and diameter AB bisec...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. In the given figure, O is the centre of a circle in which /AOC =100^(@...

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