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The given figure shows two concentric ci...

The given figure shows two concentric circles whose common centre is O. l is a line intersecting these circles at the points A,B,C and D. Show that AB `=` CD

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Draw `OL _|_ l`.
We know that the perpendicular from the centre of a circle to a chord bisects the chord.
Now BC is a chord of the smaller circle and OL `_|_` BC.
`:. BL =LC ` …(i)
Agin, AD is a chord of the bigger circle and OL `_|_` AD .
`:. AL =LD`. ....(ii)
Subtracting (i) from (ii ), we get
`(AL-BL) = (LD -LC) implies AB =CD`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
  1. The given figure shows two concentric circles whose common centre is O...

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  2. In the given figure, BOC is a diameter of a circle and AB =AC . Then ,...

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  3. In the given figure, O is the centre of a circle and / ACB = 30^(@) ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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