A) \[{{a}^{2}}-{{b}^{2}}\]
B) \[2{{a}^{2}}+{{b}^{2}}\]
C) \[{{a}^{2}}+{{b}^{2}}\]
D) \[{{a}^{2}}+2{{b}^{2}}\]
Correct Answer: C
Solution :
(c): \[HCF\times LCM=\]Product of nos. \[\Rightarrow x\times y=a\times b\] Also, \[a+b=x+y\] Squaring \[{{\left( x+y \right)}^{2}}={{(a+b)}^{2}}\] \[{{x}^{2}}+{{y}^{2}}+2xy={{a}^{2}}+{{b}^{2}}+2ab\] But \[xy=ab\] \[\Rightarrow {{x}^{2}}+{{y}^{2}}={{a}^{2}}+{{b}^{2}}.\]You need to login to perform this action.
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