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P Q and R S are two parallel chords of a...

`P Q` and `R S` are two parallel chords of a circle and lines `R P` and `S Q` intersect each other at `O` as shown in Figure. Prove that `O P=O Qdot`

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Find the length of the chord which is at 12 cm distance from center an...

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

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  3. P Q and R S are two parallel chords of a circle and lines R P and S Q ...

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

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  5. D and E are points on equal sides A B and A C of an isosceles triangle...

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

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

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

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  9. Prove that any cyclic parallelogram is a rectangle.

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

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  11. A B C D is a parallelogram. The circle through A ,Ba n dC intersects C...

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

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

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

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

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  16. In Figure, O is the centre of the circle of radius 5\ c m. O P\ |A B...

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  17. In Figure, O is the centre of the circle of radius 5\ c mdotO P|A B...

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  18. P Q\ a n d\ R S are two parallel chords of a circle whose centre is...

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  19. P Q and R S are two parallel chords of a circle whose centre is O and ...

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  20. A B and C D are two parallel chords of a circle such that A B=10c m an...

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