NDA2010MathematicsEllipseActual
If (4,0) and (-4,0) are the foci of an ellipse and the semi-minor axis is 3 ; then the ellipse passes through which one of the following points?
Options
- A(2,0)
- B(0,5)
- C(0,0)
- D(5,0)
Correct answer
D. (5,0)
Step-by-step solution
aligned & Focus =( a e, o) & b=3, and & 2 b=6 & a e=4 & But c=4 & c= a^2-b^2 & 1 b=a^2-b^2 or a^2=16+9 & a=5, b=3 & x^2 25 + b^2 9 =1 aligned which clearly passes through (5,0)