Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Find all possible values of the given expression: $\sqrt{9-x^2}$

Options:

[1, 3]

[2, 3]

[0, 3]

[0, 2]

Correct Answer:

[0, 3]

Explanation:

Least value of square root is 0, when $9 - x^2 = 0$ or x = ±3.

Also, the greatest value of $9-x^2$ is 9, when x = 0.

Hence, we have $0 ≤ 9 - x^2 ≤ 9⇒ \sqrt{9-x^2} ∈ [0,3]$