If `(alpha,beta)` is a point on the circle whose center is on the x-axis and which touches the line `x+y=0` at `(2,-2),` then the greatest value of `alpha` is (a)`4-sqrt(2)` (b) 6 (c)`4+2sqrt(2)` (d) `+sqrt(2)`

If (alpha ,beta) is a point on the circle whose centre is on the x-axis and which touches the line x+y=0 at (2,-2), then the greatest value of 'alpha' is :

If (alpha,alpha) is a point on the circle whose centre is on the x -axis and which touches the line x+y=0 at (2,-2), then the greatest value of 'alpha' is

If (alpha, alpha) is a point on the circle whose centre is on the x-axis and which touches the line x + y = 0 at (2,-2) , then the greatest value of 'alpha' is

If (alpha,beta) is the centre of the circle which touches the curve x^(2)+xy-y^(2)=4 at (2,2) and the line 3x-y+6=0 ,then the value of alpha+beta is equal to

The equation of the circle of radius 2sqrt(2) whose centre lies on the line x-y=0 and which touches the line x+y=4 , and whose centre is coordinate satisfy x+ygt4 , is

The equation of the circle of radius 2sqrt(2) whose centre lies on the line x-y=0 and which touches the line x+y=4 , and whose centre is coordinate satisfy x+ygt4 , is

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) 6-4sqrt(2) (b) 6+4sqrt(2) (c) 3+2sqrt(3) (d) 6+sqrt(3)

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a

The radius of a circle,having minimum area, which touches the curve y=4-x^(2) and the lines,y=|x| is: (a) 4(sqrt(2)+1)( b) 2(sqrt(2)+1) (c) 2(sqrt(2)-1)( d) 4(sqrt(2)-1)