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Find the length of the chord intercepted...

Find the length of the chord intercepted
by the circle `x^(2) + y^(2) - x 3y- 22 = 0` on
the line `y = x - 3 `

Text Solution

Verified by Experts

The correct Answer is:
`= 4sqrt(6)` units
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Knowledge Check

  • The length of the chord intercepted by the circle x ^(2) + y ^(2) + 2x + 4y =20=0 on the line 3x + 4y -6=0 is

    A
    `5sqrt2`
    B
    ` 4/5 sqrt21`
    C
    `8/5sqrt21`
    D
    `5 sqrt2`

  • The length of the chord x=3y+13 cut off by the circle x^(2)+y^(2)-4x+4y+3=0 is

    A
    `2sqrt5`
    B
    `5sqrt2`
    C
    `sqrt20`
    D
    `sqrt10`

  • The length of the intercept made by the circle x^(2)+y^(2)+10x-12y-13=0 on y-axis is

    A
    1
    B
    2
    C
    4
    D
    14

    • Similar Questions

    Explore conceptually related problems

    Find the length of the chord intercepted by the circle x^(2) + y^(2) + 8x-4y-16=0 on the line 3x - y +4 = 0.

    (i) Find the length of the chord intercepted by the circle x^(2)+y^(2)-8x-2y-8=0 on the line x+y+1=0 (ii) Find the length of the chord intercepted by the circle x^(2)+y^(2)+8x-4y-16=0 on the line 3x-y+4=0 (iii) Find the length of the chord formed by x^(2)+y^(2)=a^(2) on the line xcos alpha +y sin alpha=p

    Find the mid point of the chord intercepted by the circle x^(2)+y^(2)-2x-10y+1=0 on the line x-2y+7=0

    The intercept made by the circle x^(2)+y^(2)-4x-6y-3=0 on the line x+y-3=0 is

    The intercept made by the circle x^(2)+y^(2)-6x=2y-28=0 on the line 2x-5y=18=0 is

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