Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a and b are two positive numbers such that $4a^2 + b^2 = 20$ and ab = 4, then the value of 2a + b is :

Options:

80

8

6

5

Correct Answer:

6

Explanation:

$4a^2 + b^2 = 20$

ab = 4,

then the value of 2a + b is= ?

( a + b )2 = a2 + b2 + 2ab

( 2a + b )2 = 4a2 + b2 + 4ab

( 2a + b )2 = 20+ 4(4)

( 2a + b )2 = 36

2a + b= 6