A parabola `y=ax^2 +bx + c (ac > 0)` crosses the x-axis at A and B. A variable circle is drawn passing through A and B. The length of a tangent from the origin to the circle is

A parabola y=ax^(2)+bx+c crosses the x- axis at (alpha,0)(beta,0) both to the right of the origin.A circle also passes through these two points.The length of a tangent from the origin to the circle is: sqrt((bc)/(a))( b) ac^(2)(d)sqrt((c)/(a))

A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0) and (beta,0) both to the right of the origin. A circle also pass through these two points. The length of a tangent from the origin to the circle is

A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both to the right of the origin. A circle also passes through these two points. The length of a tangent from the origin to the circle is:

A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both to the right of the origin. A circle also passes through these two points. The length of a tangent from the origin to the circle is: (a) sqrt((b c)/a) (b) a c^2 (c) b/a (d) sqrt(c/a)

A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0) and (beta,0) both to the right of the origin. A circle also pass through these two points. The length of a tangent from the origin to the circle is sqrt((b c)/a) (b) a c^2 (c) b/a (d) sqrt(c/a)

A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0) and (beta,0) both to the right of the origin. A circle also pass through these two points. The length of a tangent from the origin to the circle is sqrt((b c)/a) (b) a c^2 (c) b/a (d) sqrt(c/a)

A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both to the right of the origin. A circle also passes through these two points. The length of a tangent from the origin to the circle is: (a) sqrt((b c)/a) (b) a c^2 (c) b/a (d) sqrt(c/a)

A parabola y=x^(2)-15x+36 cuts the x -axis at P and Q. A circle is drawn through P and Q so that the origin is outside it.The length of tangent to the circle from (0,0) is

A circle with centre (a,b) passes through the origin. The equation of the tangent to the circle at the origin is