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JEE Main 2005

Exam: JEE Main
Year: 2005
Subject: Mathematics
Chapter: Quadratic Equation

JEE Main 2005 · Mathematics · Quadratic Equation

If both the roots of the quadratic equation x^2-2 k x+k^2+k-5=0 are...

If both the roots of the quadratic equation

x^2-2 k x+k^2+k-5=0

are less than 5 , then

\mathrm{k}

lies in the interval

Options

A $(5,6]$
B $(6, \infty)$
C $(-\infty, 4)$
D $[4,5]$

Correct answer

C. $(-\infty, 4)$

Step-by-step solution

\begin{aligned}& \frac{-b}{2 a}< 5 \\ & f(5)>0 \\ & \Rightarrow k \in(-\infty,4) . \end{aligned}

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