Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
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

  1. Aless than 1
  2. Bgreater than 1
  3. Cequals to 1
  4. 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.

Practice Basics of Mathematics on Quantrex Academy →

More from Basics of Mathematics

All Basics of Mathematics questions Full Basics of Mathematics list All AP EAMCET PYQs