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If O is the circumcentre of A B C , t...

If `O` is the circumcentre of ` A B C ,` then find the value of `/_O B C+\ /_B A C`

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Join `OB \and\ OC`
`/_BOC=2/_BAC`
`z=2x`
In `/_\ OBC,/_OBC +/_OCB+/_BOC=180^0`
`y+z+y=180^0`
`2y+z=180^0`
`2y+2x=180^0`
`2(x+y)=180^0`
`x+y=180^0/2`
`x+y=90^0`
`/_BAC+/_OBC=90^0`
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RD SHARMA-CIRCLE -All Questions
  1. A B C D is a cyclic quadrilateral in which /B A D=75^0,\ /A B D=58^0...

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  2. In Figure, if /A O B=80^0a n d\ /A B C=30^0, then find /C A O

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  3. If O is the circumcentre of A B C , then find the value of /O B C...

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  4. If Figure, A O C is a diameter of the circle and are A X B=1/2 arc B...

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  5. In Figure, A is the centre of the circle. A B C D is a parallelogram...

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  6. In Figure, A B is a diameter of the circle such that /A=35^0a n d\ /...

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  7. In Figure, P\ a n d\ Q are centres of two circles intersecting at B\...

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  8. In Figure, A B C D is quadrilateral inscribed in a circle with centr...

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  9. If the length of a chord of a circle is 16 cm and is at a distance o...

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  10. The radius of a circle is 6 cm. The perpendicular distance from the ...

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  11. If O is the centre of a circle with radius r and AB is a chord of the ...

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  12. A B C D is a cyclic quadrilateral such that /A D B=30^0a n d\ /D C A...

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  13. A chord of length 14cm is at a distance of 6 cm from the center of the...

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  14. One chord of a circle is known to be 10 cm. The radius of this circl...

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  15. A B C is a triangle with B as right angle, A C=5\ c m\ a n d\ A B=...

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  16. If A B ,\ B C\ a n d\ C D are equal chords of a circle with O as cen...

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  17. Let C be the mid-point of an arc A B of a circle such that m\ hat...

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  18. In a circle, the major arc is 3 times the minor arc. The correspondi...

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  19. An equilateral triangle A B C is inscribed in a circle with centre...

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  20. In a circle with centre O , AB and C D are two diameters perpendicular...

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