A circle is drawn through the point of intersection of the parabola `y=x^(2)-5x+4` and the x-axis such that origin lies outside it. The length of a tangent to the circle from the origin is ________ .

Answer

2

Explanation

(2) Point of intersection of given with x-aixs are (1,0) and (4,0).
Now, circle passing through these points is `(x-1)(x-4)+y^(2)+lamday=0`
`:." Length of the tangent from "(0,0)=sqrt(4)=2`