$a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0$ represents a pair of distinct non parallel line. If constant c is changed as new constant k then new equation represents.

Pair of lines

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

Parabola

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

Ellipse

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

Hyperbola

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

Open in App

Solution

The correct option is D
Hyperbola

Since c is changed as $k, Δ \neq 0$ and $h^{2} > a b ∴$ new equation represents hyperbola

Suggest Corrections

Similar questions

a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0

\sqrt{\frac{g^{2} - a c}{f^{2} - b c}} =

a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0

a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0

a x^{2} - 2 h x y + b y^{2} + 2 g x + 2 f y + c + \frac{4 f g}{c} x y = 0

a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0

a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0

Join BYJU'S Learning Program