Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A parabola y = ax 2 + bx + c crosses the x − axis at ( α , 0) ( β , 0) both to the right of the origin. A circle also passes through these two points. Find the length of a tangent from the origin to the circle.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. Let P( α , 0) and Q( β , 0) also α , β
are roots of ax 2 + bx + c = 0
so αβ = 
and α + β = – 
OT 2 = OP. OQ
OT = 
= 
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