IIM-B (BBA-DBE) 02 (QA) - Regarding the function f(x)=x^2-5 x+1 and g(x)=1-x-x^3 on the set of real numbers, which of the following statements is not true? | PYQs + Solutions

IIM-B (BBA-DBE) 2024 #2

Algebra

Hard

The graph of $f$ and $g$ intersect at three different points.

The graph of $f$ and $g$ intersect at just one point with positive abscissa.

The graph of $f$ and $g$ intersect at just one point with negative abscissa.

The graph of $f$ and $g$ intersect at just one point above the $x$ -axis.

✅ Correct Option: 4

Related questions:

JIPMAT 2024

The factors of polynomial $x^{3}-6 x^{2}+11 x-6$ are :

JIPMAT 2024

If $\alpha$ and $\beta$ are the roots of the equation $a x^{2}+b x+c=0$ , then value of

$\frac{1}{a \alpha+b}+\frac{1}{a \beta+b}$ is :

IIM-B (BBA-DBE) 2024 #1

The roots of the equation ( x^2 + 18x - 703 = 0 ) are given as ( a ) and ( b ), with ( a > b ). The roots of the equation ( x^2 - 10x - 336 = 0 ) are given as ( c ) and ( d ), with ( c > d ). Which of the options below gives the correct relation between ( a ), ( b ), ( c ), and ( d )?

IIM-B (BBA-DBE) 2024 #2 (QA) PYQs

Keyboard Shortcuts