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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.
If slope of `a(pi)/(3)` chord of `x^(2)+y^(2)=4` is 1, then its equaiton 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 ENGLISH-CIRCLE -For Problems
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