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Let alpha chord of a circle be that chor...

Let `alpha` chord of a circle be that chord of the circle which subtends an angle `alpha` at the center.
If the slope of a `pi//3` chord of `x^(2)+y^(2)=4 ` is 1, then its equation is

A

`x-y+sqrt(6)=0`

B

`x-y=2sqrt(3)`

C

`x-y=sqrt(3)`

D

`x-y+sqrt(3)=0`

Text Solution

Verified by Experts

The correct Answer is:
1
Slope of chord `=1`.
since the chord is a `pi//3` chord, its distance from the origin is `sqrt(3)`.
Let the equation of the chrod be` x-y+k=0` . Then ,
`|(k)/(sqrt(2))|= sqrt(3)`
i.e., `k= +- sqrt(6)`
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CENGAGE-CIRCLE -Exercise (Comprehension)
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  2. Let alpha chord of a circle be that chord of the circle which subtends...

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  3. Let alpha chord of a circle be that chord of the circle which subtends...

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  4. Let alpha chord of a circle be that chord of the circle which subtends...

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

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

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

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  8. Give two circles intersecting orthogonally having the length of common...

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  9. Give two circles intersecting orthogonally having the length of common...

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  10. Give two circles intersecting orthogonally having the length of common...

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

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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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  16. 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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  18. 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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  20. Let A,B, and C be three sets such that A={(x,y)|(x)/(cos theta)=(y)/...

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