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

Question

If x, y, z are in continued proportion, then (y2 + z2) : (x2 + y2) is equal to : 1. z : x 2. x : z 3. x : y 4. (y + z) : (x + y)

KnowledgeBoat · Accepted Answer

Given, x, y, z are in continued proportion Let for some constant ratio k. ⇒ ⇒ y = zk and x = yk = (zk)k = zk2 Substitute value of x and y in we get: Hence, option 1 is the correct option.

Mathematics

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

Ratio Proportion

Related Questions

If (x + y) : (x − y) = 4 : 1, then (x² + y²) : (x² − y²) is :
8 : 17
17 : 8
16 : 1
25 : 9

Mathematics

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

Ratio Proportion

Related Questions

If (x + y) : (x − y) = 4 : 1, then (x2 + y2) : (x2 − y2) is :8 : 1717 : 816 : 125 : 9

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

If (x + y) : (x − y) = 4 : 1, then (x² + y²) : (x² − y²) is :
8 : 17
17 : 8
16 : 1
25 : 9