A parabola y = a x 2 + b x + c crosses the x-axis at A(p, 0) \& B(q, 0) both to the right of origin. A circle also passes through these two points. The length of a tangent from the origin to the circl

Question

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

TestHub · Accepted Answer

Use power of point for the point O figure ​ ⇒ O T 2 = O A ⋅ OB = pq = a c ​ ​ ⇒ OT = a c ​ ​ ​

Mathematics - Parabola Question with Solution | TestHub

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