Question:ax=b,by=c,c2=aa^x=b,b^y=c,c^2=aax=b,by=c,c2=a.എങ്കിൽ xy എത്ര? A2B1C1/2DabAnswer: C. 1/2Explanation:a=c2a=c^2a=c2 a=c2=(by)2=b2y;c=bya=c^2=(b^y)^2=b^{2y} ; c = b^ya=c2=(by)2=b2y;c=by ∵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}}∵b=ax⟹a=b2y=(ax)2y⟹a=ax2y=a2xy a=a2xya=a^{2xy}a=a2xy 2xy=12xy=12xy=1 xy=1/2xy=1/2xy=1/2
