If (x + y) : (x − y) = 4 : 1, then (x2 + y2) : (x2 − y2) is : 1. 8 : 17 2. 17 : 8 3. 16 : 1 4. 25 : 9

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ (x + y) : (x − y) = 4 : 1 Applying Componendo and Dividendo, we get : Let x = 5k and y = 3k for some constant k. Substituting value of x and y in , we get: Thus, (x2 + y2) : (x2 − y2) = 17 : 8. Hence, option 2 is the correct option.

Mathematics

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

Ratio Proportion

Related Questions

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)

Mathematics

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

Ratio Proportion

Related Questions

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

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)