The equation, x210−a+y24−a=1 represents ellipse if
4<a<10
a<4
a>4
a>10
For the given equation to be an ellipse the only necessary condition is 10-a and 4-a should be greater than 0. ⇒10−a>0, 4−a>0⇒a<10,a<4∴a<4