1.

If HCF and LCM of two terms a and b are x and y respectively and \[\mathbf{a}+\mathbf{b}=\mathbf{x}+\mathbf{y},\]then \[{{\mathbf{x}}^{\mathbf{2}}}+{{\mathbf{y}}^{\mathbf{2}}}\]= ?

A.  \[{{a}^{2}}-{{b}^{2}}\]       
B.  \[2{{a}^{2}}+{{b}^{2}}\]
C.  \[{{a}^{2}}+{{b}^{2}}\]
D.  \[{{a}^{2}}+2{{b}^{2}}\]
Answer» D.  \[{{a}^{2}}+2{{b}^{2}}\]


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