Question
Question: The number of points (x, y) (where x & y both are perfect squares of integers) on the parabola y<sup...
The number of points (x, y) (where x & y both are perfect squares of integers) on the parabola y2 = px, p being prime number, is
A
One
B
Zero
C
Two
D
Infinite
Answer
One
Explanation
Solution
If x is perfect square p has to be perfect square which is not possible because of prime no. so only one solution (0, 0)