First slide

Functions (XII)

Question

If $f (x + 3 y, x - 3 y) = 12 x y,$ then $f (x, y)$ is

Moderate

A

$2 x y$
B

$2 (x^{2} - y^{2})$
C

$x^{2} - y^{2}$
D

none of these

Solution

$\begin{array}{l} f (x + 3 y, x - 3 y) = 12 x y = (x + 3 y)^{2} - (x - 3 y)^{2} \\ \Rightarrow f (x, y) = x^{2} - y^{2} . \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App