Let `(x, y)` be a variable point on the curve `4x^2 +9y^2 - 8x - 36y+15=0` then `min (x^2 -2x+y^2 - 4y+5) + max (x^2 -2x+y^2 - 4y+5)`

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

The point of tangency of the circles x^2+ y^2 - 2x-4y = 0 and x^2 + y^2-8y -4 = 0 , is

Let x, y be real variable satisfying the x^2 + y^2 + 8x - 10 y - 40 = 0 Let a = max{(x + 2)^2 + (y - 3)^2} and b = min{(x + 2)^2 + (y - 3)^2} , then

Let the equation of circle is x^(2) + y^(2) - 6x - 4y + 9 = 0 . Then the line 4x + 3y - 8 = 0 is a

Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0 Let a = max {(x-3)^(2) + (y-4)^(2) and b = min {(x-3)^(2) + (y-4)^(2)) , then a + b + 2010 is ______ .

Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0 Let a = max {(x-3)^(2) + (y-4)^(2) and b = min {(x-3)^(2) + (y-4)^(2)) , then a + b + 2010 is ______ .

The curves 4x^(2) + 9y^(2) = 72 and x^(2) - y^(2) = 5 at (3,2)

The point from which the tangents to the circle x^2 + y^2 - 4x - 6y - 16 = 0, 3x^2 + 3y^2 - 18x + 9y + 6 = 0 and x^2 + y^2 - 8x - 3y + 24 = 0 are equal in length is : (A) (2/3, 4/17) (B) (51/5, 4/15) (C) (17/16, 4/15) (D) (5/4, 2/3)

The point from which the tangents to the circle x^2 + y^2 - 4x - 6y - 16 = 0, 3x^2 + 3y^2 - 18x + 9y + 6 = 0 and x^2 + y^2 - 8x - 3y + 24 = 0 are equal in length is : (A) (2/3, 4/17) (B) (17/16, 4/15) (C) (17/16, 4/15) (D) (5/4, 2/3)