Question

Given that ellipse has an equation of 9x²+16y²=144.

Find(I)the x and y intercept of the graph of the equation

(II)the coordinates of the foci

(III)the length of the major and minor axis

Answer 1

i) X intercept of the graph of the equation

$$9x^2+16(0)^2=144\\x=\pm4$$

Y intercept of the graph of the equation

$$9(0)^2+16y^2=144\\y=\pm3$$

ii) The coordinates of the foci

$$(\pm\sqrt{4^2-3^2},0)=(\pm\sqrt{7},0)$$

iii)

$$L=2a=2(4)=8$$

$$l=2b=2(3)=6$$