If a circle passes through the point `(0,0),(a ,0)a n d(0, b)` , then find its center.

Find the equation of the parabola which has axis parallel to the y-axis and which passes through the points (0,2),(-1,0),a n d(1,6)dot

Centre of a circle Q is on the Y-axis. The circle passes through the points (0, 7) and (0, -1). If it intersects the positive X-axis at (P, 0), what is the value of ‘P’?

Find the equation of a circle which passes through the points (1,-2) and (4,-3) and whose centre lies on the line 3x+4y=0

The center(s) of the circle(s) passing through the points (0, 0) and (1, 0) and touching the circle x^2+y^2=9 is (are)

A circle passes through the points A(1,0)a n dB(5,0), and touches the y-axis at C(0,h)dot If /_A C B is maximum, then

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

If a circle passes through the point (a, b) and cuts the circle x^2 +y^2=k^2 orthogonally, then the equation of the locus of its center is

Find the equation of a curve passing through the point (0,0) and whose differential equation is y' = e^(x) sin x .

Find the equation of a curve passing through the point (0,0) and whose differential equation is y'=e^(x)sinx.

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point: