Ellipse

Geometry Level 3

The equation x 2 10 − a + y 2 4 − a = 1 \dfrac {x^2}{10-a}+ \dfrac {y^2}{4-a}=1 represents an ellipse, if

4 < a < 10 4<a<10 a > 10 a>10 a < 4 a<4 None of the others

Aakhyat Singh by Aakhyat Singh , 20, India

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1 solution

Chew-Seong Cheong
Oct 14, 2017

The equation is an ellipse if 10 − a > 0 10-a> 0 and 4 − a > 0 4-a > 0 , ⟹ a < 4 \implies \boxed{a<4} .

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