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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 ________ .

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The correct Answer is:
2
(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`
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CENGAGE PUBLICATION-PARABOLA-NUMERICAL VALUE TYPE
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