Question

sol. (3) Expression
[
begin{array}{c}
frac{(s-a)^{2}+(s-b)^{2}+(s-c)^{2}+s^{2}}{a^{2}+b^{2}+c^{2}}
=frac{s^{2}-2 s a+a^{2}+s^{2}+b^{2}-2 b s+s^{2}+c^{2}-2 c s+s^{2}}{a^{2}+b^{2}+c^{2}}
=frac{4 s^{2}+a^{2}+b^{2}+c^{2}-2 s(a+b+c)}{a^{2}+b^{2}+c^{2}}
=frac{4 s^{2}+a^{2}+b^{2}+c^{2}-4 s^{2}}{a^{2}+b^{2}+c^{2}}=1
end{array}
]

# Ex.3. If a + b + c = 2s, then (s-a)²+(s – b)² +(s-c)² +52 al + b2 +c2 (1) a² +b +2 (2) 0 (3) 1 (4) 2 is equal to

Solution