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Maths-

General

Easy

Question

If f(x) = ax²+ bx + c such that f(p) + f(q) = 0 where a $not equal to$ 0 ; p , q $element of$ R then number of real roots of equation f(x) = 0in interval [p, q] is

Exactly one
at leas tone
at most one
data provided is insufficient

The correct answer is: Exactly one

f(p)=–f(q) $rightwards double arrow$ eitherf(p)f(q)<0 or f(p) =0=f(q)
$rightwards double arrow$ exactlyonerootin(p,q) orrootsarepandq

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