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Consider the equation (1+a+b)^2=3(1+a^2...

Consider the equation `(1+a+b)^2=3(1+a^2+b^2)`. where a, b are real numbers.then

A

There is no solution pair (a,b)

B

there are infinitely many solution pairs (a,b)

C

there are exactly two solution pairs (a,b)

D

there is exactly one solution pair (a,b)

Text Solution

Verified by Experts

The correct Answer is:
d
`(1+a+b)^(2)=3 (1+a^(2)+b^(2))`
`1.a.+a.b+1.b=1^(2)+a^(2)+b^(2)`
1=a=b
exactly one pair.
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