Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 2a + 3b = 10 and ab = 3, then find the value of 4a2 + 9b2.

Options:

60

62

64

66

Correct Answer:

64

Explanation:

If 2a + 3b = 10 

ab = 3

Then , 4a2 + 9b2

( a + b )2 = a2 + b2 + 2ab

( 10 )2 = 4a2 + 9b2+ 2 × 6  × 3

64 = 4a2 + 9b2