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If alpha- chord of a circle be that chor...

If `alpha-` chord of a circle be that chord which subtends an angle `alpha` at the centre of the circle.
Distance of `(2pi)/(3)-` chord of `x^(2)=y^(2)+2x+4y+1=0` from the centre is

A

1

B

2

C

`sqrt(2)`

D

`1//sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
1
Radius of circle `=2`
Distance from the origin `=2 cos . (pi)/(3) =1`
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CENGAGE ENGLISH-CIRCLE -For Problems
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  2. If alpha- chord of a circle be that chord which subtends an angle alph...

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  4. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  10. In the given figure, there are two circles with centers A and B. The c...

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  11. In the given figure, there are two circles with centers A and B. The c...

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  12. In the given figure, there are two circles with centers A and B. The c...

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  13. Let the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(2)-= x^(2)+y^(2)+6x+y+8...

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  14. Let each of the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(1)-= x^(2)+y^(2...

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  15. Let each of the circles S(1)-=x^(2)+y^(2)+4y-1=0 S(1)-= x^(2)+y^(2...

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  17. The line x + 2y = a intersects the circle x^2 + y^2 = 4 at two distinc...

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  19. Let A,B, and C be three sets such that A={(x,y)|(x)/(cos theta)=(y)/...

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