Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 2a + 5b = 12 and ab = 3, find the value of $4a^2 + 25b^2$ ?

Options:

64

44

84

24

Correct Answer:

84

Explanation:

If 2a + 5b = 12

ab = 3,

find the value of $4a^2 + 25b^2$ = ?

we know that,

If $K+l=n$

then, $K^2+l^2$ = n2 – 2 × k × l

The value of $4a^2 + 25b^2$= 122 – 2 × 3 × 2 × 5 = 144 - 60 = 84