A) \[{{27}^{2}}+{{93}^{2}}\]
B) \[{{34}^{2}}+{{93}^{2}}\]
C) \[{{82}^{2}}+{{41}^{2}}\]
D) \[{{79}^{2}}+{{62}^{2}}\]
Correct Answer: D
Solution :
To check which option is equal to \[{{26}^{2}}+{{97}^{2}},\] we take the sum of unit digits square of both the numbers of the question as well as the options given in the answer. Which, ever option shows the same result will be the answer. Here, in \[{{26}^{2}}+{{97}^{2}},{{6}^{2}}=36\]and \[{{7}^{2}}=49\] So, \[36+49=85\] For option , \[{{7}^{2}}+{{3}^{2}}=49+9=58\] For option , \[{{4}^{2}}+{{3}^{2}}=16+9=25\] For option , \[{{2}^{2}}+{{1}^{2}}=4+1=5\] For option , \[{{9}^{2}}+{{2}^{2}}\text{= }81+4=85\] So, Only \[\]option satisfies the condition.
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