Given:
The equation is:
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
To find:
The value of y.
Solution:
We have,
[tex]\dfrac{y}{p-q}=\dfrac{y}{p+q}[/tex]
On cross multiplication, we get
[tex]y(p+q)=y(p-q)[/tex]
[tex]yp+yq=yp-yq[/tex]
[tex]yp+yq-yp+yq=0[/tex]
[tex]2yq=0[/tex]
Dividing both sides by 2q, we get
[tex]\dfrac{2yq}{2q}=\dfrac{0}{2q}[/tex]
[tex]y=0[/tex]
Therefore, the correct option is A.
