Question

If a point P(x, y) moves along the ellipse \[\frac{x^{2}}{25}+\frac{y^{2}}{16}=1\] and C is the centre of the ellipse, then the sum of maximum and minimum values of CP is______.

Options

• 25

• 9

• 4

• 5

Answer 1

If a point P(x, y) moves along the ellipse \[\frac{x^{2}}{25}+\frac{y^{2}}{16}=1\] and C is the centre of the ellipse, then the sum of maximum and minimum values of CP is 9.

Explanation:

Here, a = 5, b = 4

\[\therefore\text{Required sum}=a+b=9\]