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ketan gupta

· started a discussion

· 1 Months ago

use degree concept (Question: 368375.0 )

thanks to abhinay sir

Question:

  

Options:
A)

xy    

B)

1

C)

(xyzw)m/2

D)

(xyzw)m

Solution:

Ans:(d) 

Let x = y = 2

z = w = 3

m = 1

then,

x/y = z/w = 1

2/2 = 3/3 = 1

Now, 

\(\Rightarrow \cfrac{x^m+y^m+z^m+w^m}{z^{-m}+y^{-m}+z^{-m}+w^{-m}}\)

put the value of x, y, z, w, m

\(\Rightarrow \cfrac{2^1+2^1+3^1+3^1}{2^{-1}+2^{-1}+3^{-1}+3^{-1}}\)

\(\Rightarrow \cfrac{10}{\cfrac{1}{2}+\cfrac{1}{2}+\cfrac{1}{3}+\cfrac{1}{3}}\)

\(\Rightarrow\cfrac{10}{\cfrac{10}{6}}\)

\(\Rightarrow 6\)

option C are match to answer

\(\Rightarrow (xyzw)^{m/2}\)

\(\Rightarrow (2\times2\times3\times3)^{1/2}\)

\(\Rightarrow (2\times3)^{2/2} = 6\)

Knowledge Expert

· commented

· 1 Months ago

Dear student
Thanks for your feedback

Keep learning keep solving
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