NDA2022MathematicsEllipseActual
What is the distance between the foci of the ellipse x^2+2 y^2=1 ?
Options
- A1
- B2
- C2
- D2 2
Correct answer
B. 2
Step-by-step solution
Given equation of ellipse aligned & x^2+2 y^2=1 x^2 1 + y^2 1 2 =1 & a^2=1 and b^2= 1 2 aligned aligned & b ^2= a ^2- c ^2 & c ^2= a ^2- b ^2=1- 1 2 = 1 2 & c = 1 2 aligned The distance between foci of ellipse =2 C = 2 2 = 2