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In the given figure, O is the centre of...

In the given figure, O is the centre of the circle, `BD = OD ` and `CD _|_ AB`. Find `/_ CAB`.

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The correct Answer is:
`/_ CAB = 30^(@)`
`BD = OD `and `OD = OB` ( radii of a circle. )
`implies BD = OD = OB`
`implies Delta BDO ` is equilateral `implies /_ BDO = 60^(@)`
Since the altitude of an equilateral triangle bisects the vertical angle, so `/_ BDE = /_ ODE = 30^(@) `
`:. /_ CAB = /_ BDE = 30^(@)` ( angles in the same segment ).
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RS AGGARWAL-CIRCLES -EXERCISE 12B
  1. (i) In Figure (1) , O is the centre of the circle . If / OAB = 40^(@) ...

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  2. In the given figure, O is the centre of the circle and /AOB = 70^(@). ...

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  3. In the given figure, O is the centre of the circle. If /PBC = 25^(@) a...

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  4. In the given figure, O is the centre of the circle . If /ABD = 35^(@) ...

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  5. In the given figure, O is the centre of the circle. If / ACB= 50^(@), ...

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  6. In the given figure, /ABD= 54^(@) and / BCD = 43^(@), calculate (i)...

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  7. In the adjoining figure, DE isa chrod parallel to diameter AC of the c...

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  8. In the adjoining figure, O is the centre of a circle . Chord CD is par...

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  9. In the given figure, AB and CD are straight lines through the centre O...

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  10. In the given figure , O is the centre of a circle, /AOB = 40^(@) and /...

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  11. In the adjoining figure, chords AC and BD of a circle with centre O, i...

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

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  13. In the given figure, O is the centre of the circle and / BCO = 30^(@) ...

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  14. In the given figure, O is the centre of the circle, BD = OD and CD |...

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

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  16. In the figure given below, P andQ are centres of two circles, intersec...

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  17. In the given figure, / BAC = 30^(@) . Show that BC is equal to the rad...

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  18. In the given figure, AB and CD are two chords of a circle, intersectin...

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