If f(x+2y, x-2y)=xy, then f(x, y) equals

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
Let x + 2y = p
x – 2y = q
Solving we got $x = \frac{p + q}{2}$
$y = \frac{p - q}{2} ∴ f (p, q) = \frac{p^{2} - q^{2}}{8} F (x, y) = \frac{x^{2} - y^{2}}{8}$

Suggest Corrections

Similar questions

If $f (x + 2 y, x - 2 y) = x y,$ then $f (x, y)$ equals

f (x + 2 y, x - 2 y) = x y

f (x, y)

If f(x+2y, x-2y)=xy, then f(x, y) equals

f (x + 2 y, x - 2 y) = x y,

f (x, y)

Join BYJU'S Learning Program