Question

If x, y, z are in continued proportion, then (y² + z²) : (x² + y²) is equal to ______.

पर्याय

• z : x

• x : z

• x : y

• (y + z) : (x + y)

Answer 1

If x, y, z are in continued proportion, then (y² + z²) : (x² + y²) is equal to z : x.

Explanation:

Continued proportion gives y² = xz.

Thus `(y^2 + z^2)/(x^2 + y^2) = (xz + z^2)/(x^2 + xz) = z/x`, so the ratio is z : x.