Question

The difference between the lengths of the major axis and the latus rectum of an ellipse is

option are
a.(2,1)
b.(3,4)
c.(-4,-3)
d.(5,6)

Answer 1

Was there more to this question?

major axis length = 2a
latus rectum = 2b^2/a

Difference between the lengths is just one subtract the other:
\[L = 2a - \frac{ 2b^2 }{ a } \]which you can simplify in a few ways...
\[L = 2a - \frac{ 2b^2 }{ a } = 2\frac{ a^2 - b^2 }{a }=2\frac{ c^2 }{ a }\]

Answer 2

so the answer is not in the option i dont see a near 1

Answer 3

Well the answers don't seem to make sense for the question... all the answers given are co-ordinates of points (x, y), points are not lengths.