Home
Class 11
MATHS
A parabola y=a x^2+b x+c crosses the x-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)`

Promotional Banner

Similar Questions

Explore conceptually related problems

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)(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=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=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

The locus of the centre of the circle which passes through the origin and cuts off a length 2b from the line x = c is

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is (a) 5/(sqrt(2))a (b) 2sqrt(2)a (c) sqrt(5/2)a (d) 3/(sqrt(2))a