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Number of circle touching both the axes ...

Number of circle touching both the axes and the line `x+y=4` is greater than or equal to :

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
A, B, C, D
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Number of circles touching both co-ordinate axes and line 2x+ 3y-6 is :

Find the equation of the circle which touches both the axes and the line 3x-4y+8=0 and lies in the third quadrant.

Knowledge Check

  • The equations of the circles which touch both the axes and the line x = a are

    A
    `x^(2)+y^(2)+- ax+- ay+(a^(2))/(4)=0`
    B
    `x^(2)+y^(2)+ax+- ay +(a^(2))/(4)=0`
    C
    `x^(2)+y^(2)-ax +- ay + (a^(2))/(4)=0`
    D
    none of these

  • The equations of the circle which touch both the axis and the line x = c are

    A
    `x^(2)+y^(2) pm cx pm cy +(c^(2))/(4) =0`
    B
    `x^(2)+y^(2) +cx pm cy +(c^(2))/(4)=0`
    C
    `x^(2)+y^(2) -cx pm cy +(c^(2))/(4) =0`
    D
    none of these

  • The equation of the circles which touch both the axes and the line 4x+3y=12 and have centres in the first quadrant, are

    A
    `x^(2)+y^(2)-x-y+1=0`
    B
    `x^(2)+y^(2)-2x-2y+1=0`
    C
    `x^(2)+y^(2)-12x-12y+36=0`
    D
    `x^(2)+y^(2)-6x-6y+36=0`

    • Similar Questions

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    Equation of circles which touch both the axes and also the line x=k(k>0) is

    A circle touches both the x-axis and the line 4x-3y+4=0 . Its centre is in the third quadrant and lies on the line x-y-1=0 . Find the equation of the circle.

    The equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first quadrant and lies below it, is

    Find the equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first quadrant and lies below it.

    Find the equation of a circle which touches both the axes and the line 3 4 8 0 x y - + = and lies in the third quadrant.

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