Which of the following curve(s) is(are) symmetric about $y = x$ ?

x^{2} - y^{2} = 16

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

x^{2} + y^{2} = 16

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

x y = 16

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

3 x^{2} + 4 y^{2} = 12

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

Open in App

Solution

The correct option is C $x y = 16$
We know a curve is symmetric about $y = x,$ if its equation do not change when we interchange $x$ and $y$ .
$∴$ options $(b), (c)$ are correct

Suggest Corrections

Similar questions

f (x, y) = 0

y = x

f (x, y) = f (y, x)

f (x, y) = 0

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

| y | = x - 1

y^{2} (10 - x) = x^{3}

(y | = f (x)

X

Y

Join BYJU'S Learning Program