If w \( \ne \) 0 and w = 2x = \(\sqrt {2y} \), what is the value of w

If w \( \ne \) 0 and w = 2x = \(\sqrt {2y} \), what is the value of w - x in terms of y ?

A 2y

B \(\frac{{\sqrt {2y} }}{2}\)

C \(\sqrt {2y} \)

D 2\(\sqrt {2y} \)

Correct Answer: Option B

Solution:

দেয়া আছে, w = 2x = \(\sqrt {2y} \)

অর্থাৎ w = \(\sqrt {2y} \) এবং 2x = \(\sqrt {2y} \) x = \(\frac{{\sqrt {2y} }}{2}\)

প্রদত্ত রাশিমালা = w - x

= \(\sqrt {2y} - \frac{{\sqrt {2y} }}{2}\)

= \(\frac{{2\sqrt {2y} - \sqrt {2y} }}{2}\)

= \(\frac{{\sqrt {2y} (2 - 1)}}{2} = \frac{{\sqrt {2y} }}{2}\)