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Grade: 12

                        

If (1/b+c) +(1/c+a)=(2/a+b) find a^2+b^2 please give the solution.

6 years ago

Answers : (3)

bharat bajaj
IIT Delhi
askIITians Faculty
122 Points
							Take LCM ,
(2c+a+b)/(a+c)(b+c) = 2/a+b
Cross multiply:
a^2 + b^2 + 2ab + 2bc + 2ac = 2bc + 2ab + 2c^2 + 2ac
This gives,
a^2 + b^2 = 2. c^2
Thanks
Bharat Bajaj
askiitians faculty
IIT Delhi
6 years ago
bharat bajaj
IIT Delhi
askIITians Faculty
122 Points
							
Take LCM ,
(2c+a+b)/(a+c)(b+c) = 2/a+b
Cross multiply:
a^2 + b^2 + 2ab + 2bc + 2ac = 2bc + 2ab + 2c^2 + 2ac
This gives,
a^2 + b^2 = 2. c^2


Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty
6 years ago
R1312467
11 Points
							Take LCM ,
(2c+a+b)/(a+c)(b+c) = 2/a+b
Cross multiply:
a^2 + b^2 + 2ab + 2bc + 2ac = 2bc + 2ab + 2c^2 + 2ac
This gives,
a^2 + b^2 = 2. c^2
						
6 years ago
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