Q.20. Intersection of Graphs

$n$ is the number of points of intersection of the graphs

$$y = \left| x^2 - a^2 \right| \quad \text{and} \quad y = a^2 \left| x - 1 \right|$$

where $a$ is a real number.

What is the smallest value of $n$ that is not possible?

Answer Choices

• $n = 1$
• $n = 2$
• $n = 3$
• $n = 4$
• $n = 5$

Solution

The correct answer is option 2: $n = 2$.