A circle passing through (1 1) and (3 3) intersect the positive x -axis at A(a 0) and B(b 0) .Then ab =

Line AB passes through point (2,3) and intersects the positive x and y-axes at A(a,0) and B(0,b) respectively. If the area of DeltaAOB is 11. then the value of 4b^2+9a^2 is

The circle passing through (0,0),(a,0), (0,b) is

Circle with centre C (1, 1) passes through the origin and intersects the x-axis at A and y-axis at B. The area of the part of the circle that lies in the first quadrant is

Centre of circle passing through A(0,1), B(2,3), C(-2,5) is

Centre of circle , passing through (0,0) ,(a,0) and (0,b) , is

The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point (1) (2, -5) (2) (5, -2) (3) (-2, 5) (4) (-5, 2)

The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point

A curve y=f(x) passes through (1,1) and tangent at P(x , y) cuts the x-axis and y-axis at A and B , respectively, such that B P : A P=3, then (a) equation of curve is x y^(prime)-3y=0 (b) normal at (1,1) is x+3y=4 (c) curve passes through 2, 1/8 (d) equation of curve is x y^(prime)+3y=0

The equation of the circle passing through (0, 0) and making intercepts 2 units and 3 units on the x-axis and y-axis repectively, is

The equation of circle which passes through (1, -1) and which touches the line 6x + y -18 = 0 at point (3, 0) is