Centre of a circle Q is on the Y-axis. T...

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’?

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The equation of the circle passing through the points (1, 0) and (0, 1) and having smallest radius is :

`x^2+y^2-2x-2y+1=0`

`x^2+y^2-x-y=0`

`x^2+y^2+2x+2y-7=0`

`x^2+y^2+x+y-2=0`

The differential equation of the family of circles passing through the fixed points (a, 0) and (-a, 0) is

`y_(1) (Y^(2)-x^(2)+a^(2)) + 2xy + a^(2) = 0`

`Y_(1)y^(2)+xy+a^(2)x^(2) = 0`

`y_(1)(y^(2)-x^(2)+a^(2)) + 2xy = 0`

none of these

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

`(-3/2,0)`

`(-5/2,2)`

`(-3/2, 5/2)`

(-4,0)