Advertisements
Advertisements
Question
If x, y, z are in continued proportion, then (y2 + z2) : (x2 + y2) is equal to ______.
Options
z : x
x : z
x : y
(y + z) : (x + y)
MCQ
Fill in the Blanks
Advertisements
Solution
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.
shaalaa.com
Is there an error in this question or solution?
