CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If $$\dfrac { x }{ y } +\dfrac { y }{ x } =2, x \neq 0, y \neq 0$$, find $${ x }^{ 3 }-{ y }^{ 3 }$$.


A
0
loader
B
1
loader
C
1
loader
D
xy
loader

Solution

The correct option is C $$0$$
$$\cfrac{x}{y} +\cfrac{y}{x}=2 \implies x^2+y^2=2xy$$
$$\implies x^2-2xy+y^2=0 \implies (x-y)^2 =0$$
So, $$(x-y)=0\implies x=y$$
$$x^3-y^3=0$$

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image