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Question

If 2m+n2n-m=163p3n=81 and a=21/10, thena2m+n-p(am-2n+2p)-1=

(a) 2

(b) 14

(c) 9

(d) 18


Solution

Given :  3p3n=81 and  
To find :  

Find : 
By using rational components We get

By equating rational exponents we get 

Now,   =a2m+n-p.am-2n+2p  we get
=a2m+n-p+m-2n+2p=a3m-n+pNow putting value of a = 2110 we get, =23m-n+p10=26-n+p10

Also, 3p3n=81
3p-n=34
On comparing LHS and RHS we get, p - n = 4.
Now, 
= a3m - n + p
=26+(p-n)10=26+410=21010=21=2


So, option (a) is the correct answer.

 


Mathematics
RD Sharma (2017)
Standard IX

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