Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + 2b = 10 and 2ab = 9, then |a - 2b| is equal to:

Options:

4

6

8

2

Correct Answer:

8

Explanation:

If a + 2b = 10

2ab = 9,

ab = 4.5

then |a - 2b|= ?

If x + y  = n

then, x - y  = \(\sqrt {n^2 - 4× x × y}\)

= |a - 2b| =  \(\sqrt {10^2 - 4× 2 × 4.5}\) = \(\sqrt {100 - 36}\) = 8