How many non-zero integral values of X, Y and Z are there, such that $Z^{2} = X^{2} + Y^{2}$ and $Z^{2} \leq 100$ ?___

Open in App

Solution

The correct answer is 32. Check the video for the approach.

Suggest Corrections

Similar questions

x, y, z

x + y + z = 4

x^{2} + y^{2} + z^{2} = 6

x

x^{3} + y^{3} + z^{3} = 6 x y z

x + y + z \neq 0

x y z = x + y + z

(x - y)^{2} + (y - z)^{2} + (z - x)^{2}

x^{2} + y^{2} + z^{2} + x + y + z - 1 = 0

x^{2} + y^{2} + z^{2} + x + y + z - 5 = 0

x^{2} + y^{2} + z^{2} = r^{2}

x^{2} + y^{2} - z^{2} = r^{2}

x^{2} - y^{2} + z^{2} = r^{2}

z^{2} + y^{2} - x^{2} = r^{2}

If $x = r s i n α c o s β, y = r s i n α s i n β$ and $z = r c o s α$ , then

Join BYJU'S Learning Program