If the value of 
is same as that of √(x)√(y), then which of the following reactions between x and y is correct?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 9x – 4y = 24.
| Understanding/Application |
|
(3x√y + 2y√x)/(3x√y - 2y√x) - (3x√y - 2y√x)/(3x√y + 2y√x) = √x √y [(3x√y + 2y√x)2 - (3x√y - 2y√x)2]/[(3x√y)2 - (2y√x)2] = √x √y [9x2y + 4y2x + 12xy√x √y - (9x2y + 4y2x - 12xy √x √y)]/(9x2y - 4y2x) = √x √y |
|
(24xy √x √y)/xy(9x - 4y) = √x √y 9x - 4y = 24 |