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A circle C1, of radius 2 touches both x-...

A circle `C_1`, of radius `2` touches both `x`-axis and `y`- axis. Another circle `C_1` whose radius is greater than `2` touches circle and both the axes. Then the radius of circle is

A

`6-4sqrt2`

B

`6+4sqrt2`

C

`6-4sqrt3`

D

`6+4sqrt3`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • C_(1) is a circle of radius 2 touching X-axis and Y-axis. C_(2) is another circle of radius greater than 2 and touching the axes as well as the circle C_(1) Statemnet I Radius of Circle C_(2)=sqrt2(sqrt2+1)(sqrt2+2) Statement II Centres of both circles always lie on the line y=x.

    A
    Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I
    B
    Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I
    C
    Statement I is true, Statement II is false
    D
    Statement I is false, Statement II is true

  • The equation of the circle which touches both the axes and whose radius is a, is

    A
    `x ^(2) + y^(2) -2ax-2ay+a^(2) =0`
    B
    `x ^(2) + y ^(2) + ax +ay-a ^(2)=0`
    C
    `x ^(2) +y^(2) + 2x +2ay-a^(2) =0`
    D
    ` x ^(2) + y^(2) -ax -ay +a ^(2) =0`

  • 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

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