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 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)

Find the equation of circle whose centre is the point (1,-3) and touches the line 2x-y-4=0

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

Draw the circle which touches x-axis and its centre is (alpha, beta) .

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

An ellipse with focii (1,4) and (alpha,beta) touches the x -axis at (5,0). Then the value of alpha-beta is

The line x sin alpha - y cos alpha =a touches the circle x ^(2) +y ^(2) =a ^(2), then,

If (alpha,alpha) lies inside the circle x^(2)+y^(2)=9 then find the region of (alpha,alpha)

If the point (alpha, alpha^(4)) lies on or inside the triangle formed by lines x^(2)y+xy^(2)-2xy=0 , then the largest value of alpha is .