If the length of the chord of the circle , ` x^2 + y^2 = r^2 (r gt 0)` along the line , `y - 2x = 3` is `r`, then `r^2` is equal to

Length of the chord of the circle x^2+y^2+4x-7y+12=0 along the y-axis is:

the length of the chord intercepted by the circle x^(2)+y^(2)=r^(2) on the line (x)/(a)+(y)/(b)=1

Is the circle x^2+y^2=r^2 symmetrical about the line y=x?

Is the circle x ^(2) +y ^(2) = r ^(2) symmetrical about the line y=x ?

The length of the common chord of the circles (x-a)^(2)+y^(2)=r^(2) and x^(2)+(y-b)^(2)=r^(2) is

Length of common chord of the circles: (x-1)^2 +(y+1)^2 =r^2 and (x+1)^2 + (y-1)^2 =r^2 is :

If the line x+2y=3 cuts a chord of length r unit with the circle x^2+y^2=r^2 then find r^2 .

If the circle x^(2)+y^(2)-2x-6y = r^(2)-10 is tangent to the line 12y = 60 , the value of r is

The circle (x-r) ^(2) + (y-r) ^(2) =r ^(2) touches

Let r _(1) and r _(2) be the radii of the largest and smallest circles, respectively, which pass through the point (–4,1) and having their centres on the circumference of the circle x ^(2) + y ^(2) + 2x + 4y - 4 =0 . If (r _(1))/(r _(2)) = a + b sqrt2. then a + b is equal to .