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

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

The equation of the circle passing through (0, 0) and belonging to the system of circles of which (3, 1) and (-1, 5) are limiting points, is

If a line with positive slope passing through point P(0,1) interesects the curve y=x^(2)-x at A and B such that PA.PA=2, then AB is:

The circle passing through the point (-1,0) and touching the y -axis at (0,2) 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, 8 (d) equation of curve is x y^(prime)+3y=0