Target Exam

CUET

Subject

General 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 + 49y- 2 × 28  × 8 

569 = 16x2 + 49y2