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Find the equation of the circle with cen...

Find the equation of the circle with centre `(-2, 3)` cutting a chord length 2 units
on ` 3x + 4y + 4 = 0 `

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)+4x-6y+8=0`
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Find the equation of the circle with centre ( -2,3) cutting a chord of length 2 units on 3x + 4y + 4 =0

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Knowledge Check

  • The equation of the circle with centre (3,-1) and which cuts off a chord of length 6 on the line 2x-5y+18=0 is

    A
    `x^(2)+y^(2)-6x+2y-28=0`
    B
    `x^(2)+y^(2)-6x+8=0`
    C
    `x^(2)+y^(2)+4x-16x+2y-18=0`
    D
    `3x^(2)+3y^(2)+4x-6y+18=0`

  • Equation of circle with centre (3,-1) and which cuts off a chord of length 6 on the line 2x-5y+18=0 is

    A
    `x^(2)+y^(2)+6x+2y+28=0`
    B
    `x^(2)+y^(2)-6x+2y-28=0`
    C
    `x^(2)+y^(2)+2y-28=0`
    D
    `x^(2)+y^(2)-6x+2y+28=0`

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the circle with centre (2,3) and touching the line 3x- 4y + 1=0

    Find the equation of circle with centre (2, 3) and touching the line 3x - 4y + 1 = 0

    Find the equation of a circle which passes through (2,-3) and (-4,5) and having the centre on 4x + 3y + 1 =0

    Find the equation of the circle which cuts the following circles orthogonally. x^2 + y^2 + 2x + 4y + 1 =0, 2x^2 + 2y^2 + 6x + 8y - 3 = 0, x^2 + y^2 - 2x +6y - 3 = 0.

    Find the equation of the circle passing through (2,-3) , (-4,5) and having the centre on 4x+ 3y+1=0 .

    Find the equation of the circle passing through (2,-3) , (4,-5) and having the centre on 4x+ 3y-24=0 .

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