Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 2002
Exam
JEE Main
Year
2002
Subject
Mathematics
Chapter
Basics of Mathematics

JEE Main 2002 · Mathematics · Basics of Mathematics

If a, b, c are distinct +v e real numbers and a^2+b^2+c^2=1 then a...

If a,b,ca, b, c are distinct +ve+v e real numbers and a2+b2+c2=1a^2+b^2+c^2=1 then ab+bc+caa b+b c+c a is

Options

  1. Aless than 1
  2. Bequal to 1
  3. Cgreater than 1
  4. Dany real no.

Correct answer

A. less than 1

Step-by-step solution

ab+bc+ca=(a+b+c)2−12<1a b+b c+c a=\frac{(a+b+c)^2-1}{2} < 1
Practice Basics of Mathematics on Quantrex Academy →

More from Basics of Mathematics

All Basics of Mathematics questions Full Basics of Mathematics list Basics of Mathematics JEE Maths PYQsJEE Mathematics PYQs All JEE Main PYQs