If (4x - 7y) = 11 and xy = 8. what is th

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If (4x - 7y) = 11 and xy = 8. what is the value of 16x² + 49y², given that x and y are positive numbers?

Options:

596

484

569

448

Correct Answer:

569

Explanation:

If (4x - 7y) = 11

xy = 8

Then = 16x² + 49y²

( a - b )² = a² + b² - 2ab

( 11 )² = 16x² + 49y²- 2 × 28 × 8

569 = 16x² + 49y²