The equation represents

MATHEMATICS · Multi correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The equation

\frac{x^2}{10-\lambda}+\frac{y^2}{6-\lambda}=1

represents (1) a hyperbola if

\lambda<6

(2) an ellipse if

\lambda>6

(3) a hyperbola if

6<\lambda<10

(4) an ellipse if

0<\lambda<6