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If two chord of a circle (or of congruen...

If two chord of a circle (or of congruent circles) are equal, then their corresponding arcs. (minor, major or semi-circular) are congruent.

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Case1
PQ and RS are diameter
PQ=RS are congregant
Case2
PQ RS are minor areas
In`/_\POQ and /_\O\'RS`
`OP=O\'R=OQ-O\'S=r`
PQ=RS
...
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RD SHARMA-CIRCLE -All Questions
  1. If two chords A B and A C of a circle with centre O are such that the ...

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  2. If two arcs of a circle (or of congruent circles) are congruent, then ...

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  3. If two chord of a circle (or of congruent circles) are equal, then the...

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  4. The perpendicular from the centre of a circle to a chord bisects the ...

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  5. If two circles intersect in two points, prove that the line through th...

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  6. Find the length of the chord which is at 12 cm distance from center an...

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  7. In an isosceles triangle A B C with A B=A C , a circle passing through...

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  8. P Qa n dR S are two parallel chords of a circle and lines R Pa n dS Q ...

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  9. A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the ...

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  10. Da n dE are points on equal sides A Ba n dA C of an isosceles triangle...

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  11. D\ a n d\ E are, respectively, the points on equal sides A B\ a n d...

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  12. A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in...

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  13. In Figure, P Q R S is a cyclic quadrilateral. Find the measure of each...

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  14. Prove that any cyclic parallelogram is a rectangle.

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  15. A Ca n dB D are chords of a circle which bisect each other. Prove that...

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  16. A B C D is a parallelogram. The circle through A ,B and C intersects C...

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  17. Fill in the blanks: All point lying inside/outside a circle are ca...

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  18. Write the truth value (T/F) of the following with suitable reasons: ...

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  19. The radius of a circle is 13 cm and the length of one of its chords ...

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  20. Find the length of a chord which is at a distance of 5 cm from the c...

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