Question: The number of rational points on the ellipse $\frac{x^{2}}{9}$+ $\frac{y^{2}}{4}$= 1 is–...

Question

The number of rational points on the ellipse $\frac{x^{2}}{9}$ + $\frac{y^{2}}{4}$ = 1 is–

Answer 1

$\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$

Let any point on ellipse be (3 cos q, 2 sin q)

Since sin q and cos q can be rational for infinite many value of q Ī [0, 2p].

Question: The number of rational points on the ellipse \(\frac{x^{2}}{9}\)+ \(\frac{y^{2}}{4}\)= 1 is–...