AP EAMCET20226 Jul 2022Evening ShiftMathematicsBasics of MathematicsActual
If a, b, c are distinct positive real numbers and a^2+b^2+c^2=1 , then the value of a b+b c+c a is
Options
- Aless than 1
- Bgreater than 1
- Cequals to 1
- Dany real number
Correct answer
A. less than 1
Step-by-step solution
Given, a, b and c are positive distinct real number. Also, a^2+b^2+c^2=1 As square of a number is also positive, so aligned & 0 < a^2, b^2, c^2 < 1 & 0 < a, b, c, < 1 aligned Values of a b+b c+c a is less than one.