Solution for 16

Consider,
(a+b+c)= a2+b2+c2+2(ab+bc+ca)
 We know that, square of any real number is greater than or equal to zero
So, 
(a+b+c)2 ≥ 0
⇒ a2+b2+c2+2(ab+bc+ca)≥ 0
⇒ 14+2(ab+bc+ca)≥ 0
⇒ 2(ab+bc+ca)≥ 0-14
⇒ (ab+bc+ca)≥ -14/2
⇒ (ab+bc+ca)≥ -7

So, ans is option 4

  • 2
a=3; b=2; c=1 then ab+bc+ca=11 so 14 is greater than 11
  • -1
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