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The bisector of /B of an isosceles t...

The bisector of `/_B` of an isosceles triangle `A B C` with `A B=A C` meets the circumcircle of ` A B C` at `P` as shown in Figure. If `A P\ a n d\ B C` produced meet at `Q ,` prove that `C Q=C A`.

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Bisector A D of /_B A C of /_\ A B C passes through the centre O of the circumcircle of /_\A B C as shown in figure. Prove that A B=A C .

In Figure, if A B=A C\ a n d\ /_B=/_Cdot Prove that B Q=C P

B D and C E are bisectors of /_B and /_C of an isosceles A B C with A B=A Cdot Prove that B D=C Edot

B D\ a n d\ C E are bisectors of /_B\ a n d\ /_C of an isosceles A B C with A B=A C . Prove that B D=C E

In figure, P is the mid-point of B C , ,Q is the mid-point of A P , such that B Q produced meets A C at Rdot Prove that 3RA= CA

In a triangle A B C , the internal bisectors of /_B\ a n d\ /_C meet at P and the external bisectors of /_B\ a n d\ /_C meet at Q . Prove that /_B P C+\ /_B Q C=180^0

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

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  2. D is a point on the circumcircle of A B C in which A B=A C such tha...

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  3. The bisector of /B of an isosceles triangle A B C with A B=A C mee...

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  4. Bisectors of angles A, B and C of a triangle ABC intersect its circum...

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  5. Prove that the mid-point of the hypotenuse of a right triangle is eq...

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  6. A B is a diameter of a circle with centre O and radius O D is perp...

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  7. In Figure, P , is any point on the chord B C of a circle such that A B...

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  8. In Figure, AB is a diameter of the circle, CD is a chord equal to th...

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  9. In Figure, O is the centre of the circle. If /A P B=50^0, find /A O B\...

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  10. In Figure, it is given that O is the centre of the circle and /A O...

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  11. In Figure, O is the centre of the circle. Find /B A C

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  12. If O is the center of the circle, find the value of x in each of t...

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  13. If O is the circumcentre of /\ A B C and O D|B C , prove that /B O D=...

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  14. In the figure, O is the center of the circle and BO is the bisector of...

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  15. In Figure, O is the centre of the circle, prove that /x=/y+/z

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  16. In Figure, O\ a n d\ O ' are centres of two circles intersecting at ...

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  17. In Figure, O is the centre of a circle and P Q is a diameter. If /R...

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  18. In Figure, if /A C B=40^@,\ /D P B=120^@,\ find /C B D

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  19. A chord of a circle is equal to the radius of the circle. Find the ...

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

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