If `r_1a n dr_2` are the radii of the smallest and the largest circles, respectively, which pass though (5, 6) and touch the circle `(x-2)^2+y^2=4,` then `r_1r_2` is `4/(41)` (b) `(41)/4` `5/(41)` (d) `(41)/6`

If r_(1) and r_(2) be the maximum and minimum radius of the circle which pass through the point (4, 3) and touch the circle x^(2)+y^(2)=49 , then (r_(1))/(r_(2)) is …….

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 .

If radii of the smallest and the largest circle passing through ( sqrt( 3) ,sqrt(2)) and touching the circle x^(2) +y^(2) - 2 sqrt( 2)y -2=0 are r_(1) and r_(2) respectively, then find the mean of r_(1) and r_(2) .

find the equation circle which is passes through the points (4,1),(6,5) and centre lies on 4x+y=16 is

Amonst the following fractions the largest and second largest fractions, respectively are 5/6,3/4,1/2,2/3,3/5

Find the equation of the line that is perpendicular to 2x+5y-9=0 and passes through the midpoint of the line joining (2,7) and (-4,1).

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x+y=16

Find the equation of the line that is parallel to 2x+5y=7 and passes through the mid-point of the line joining (2,7) and (-4,1) .

- Find the equation of the circle which is x + y-4-8-41 = 0 goes through the center and the circle| '+' -2y + 1 = 0 is concentrated.

Find the equation of the circle passing through the points A(-2,7),B(-4,1) and C(4,-5)