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The circle with centre (1,1) and radius ...

The circle with centre (1,1) and radius 1 is

A

`x^(2)+y^(2)-2x-2y+1=0`

B

`x^(2)+y^(2)+2x+2y+1=0`

C

`x^(2)+y^(2)_x-y+1=0`

D

`x^(2)+y^(2)+x+y+1=0`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Let "c" be the circle with centre at (1,1) and radius =1. If 'T' is the circle centred at (0,y) passing thorugh origin and touching the circle 'C' externally , then the radius of 'T' is equal to:

    A
    `(sqrt3)/( sqrt2) `
    B
    ` (sqrt3)/(2)`
    C
    ` (1)/(2) `
    D
    ` (1)/(4)`

  • The equation of the circle with centre (3, -2) and radius 3 is

    A
    `x^(2)+y^(2)-6x+4y+4=0`
    B
    `x^(2)+y^(2)-4x+6y+9=0`
    C
    `x^(2)+y^(2)+14x+6y-42=0`
    D
    `x^(2)+y^(2)+2x+16y+40=0`

  • Let C be the circle with centr at (1,1) and radius =1. If T is the circle centred at (0,y), passing through origin and touching the circle C externally, then the radius of T is equal to

    A
    `1/2`
    B
    `1/4`
    C
    `sqrt3/sqrt2`
    D
    `sqrt3/2`

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