Question
Question: The distance of the point 'q' on the ellipse \(\frac{x^{2}}{a^{2}}\)+ \(\frac{y^{2}}{b^{2}}\)= 1 fro...
The distance of the point 'q' on the ellipse a2x2+ b2y2= 1 from a focus is-
A
a(e + cos q)
B
a(e – cos q)
C
a (1 + e cos q)
D
a(1 + 2e cos q)
Answer
a (1 + e cos q)
Explanation
Solution
Focal distance of any point P(x, y) on the ellipse is equal to SP = a + ex; Here x = a cos q
\ SP = a + e (a cos q) Ž a (1 + e cos q)