A) 16 : 29
B) 49 : 9
C) 29 : 21
D) 25 : 4
Correct Answer: C
Solution :
Given, \[x+y=7\] ?(i) \[x-y=3\] ?(ii) After solving Eqs. (i) and (ii), we get \[\begin{align} & x+y=7\,\,\,\,\,\,\,x-y=3 \\ & \frac{-\,\,\,\,+\,\,\,\,\,\,-}{\,\,\,\,\,2y=4} \\ \end{align}\] \[\therefore \] y= 2 and x=5 Now, \[({{x}^{2}}+{{y}^{2}}):({{x}^{2}}-{{y}^{2}})\] \[=[{{(5)}^{2}}+{{(2)}^{2}}]:[{{(5)}^{2}}-{{(2)}^{2}}]\] \[=(25+4):(25-4)=29:21\]You need to login to perform this action.
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