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ax=b,by=c,c2=aa^x=b,b^y=c,c^2=a.എങ്കിൽ xy എത്ര?

A2

B1

C1/2

Dab

Answer:

C. 1/2

Read Explanation:

a=c2a=c^2 

a=c2=(by)2=b2y;c=bya=c^2=(b^y)^2=b^{2y} ; c = b^y

b=ax    a=b2y=(ax)2y    a=ax2y=a2xy\because{b=a^x} \implies{a}={b^{2y}=(a^x)^{2y}}\implies{a=a^{x2y}=a^{2xy}}

a=a2xya=a^{2xy}

2xy=12xy=1

xy=1/2xy=1/2

 

 

 

 


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