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Consider with circle S: x^2+y^2-4x-1=0 ...

Consider with circle `S: x^2+y^2-4x-1=0` and the line `L: y=3x-1`. If the line L cuts the circle at A and B then Length of the chord AB equal

A

`sqrt5`

B

`sqrt10`

C

`2sqrt5`

D

`5sqrt2`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If the line y = x+3 meets the circle x^(2)+y^(2)=a^(2) at A and B, then equation of the circle on AB as diameter is

    A
    `x^(2)+y^(2)+3x-3y-a^(2)+9=0`
    B
    `x^(2)+y^(2)-3x+3y-a^(2)+9=0`
    C
    `x^(2)+y^(2)+3x+3y-a^(2)+9=0`
    D
    none of these

  • If the line y = x + 3 meets the circle x ^(2) + y ^(2) =a ^(2) at A and B, then equation of the circle on AB as diameter is

    A
    `x ^(2) + y ^(2) + 3x - 3y -a ^(2) + 9=0`
    B
    `x ^(2) + y ^(2) - 3x + 3y -a ^(2) - 9=0`
    C
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    D
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    A
    L is a normal to the circle S.
    B
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    C
    L is a tangent to the circle S.
    D
    L does not intersect the circle S.

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