Home
Class 12
MATHS
If a + b + c = 0 , prove that a^(4) ...

If `a + b + c = 0 `,
prove that
`a^(4) + b^(4) + c^(4) = 2(b^(2)c^(2)+c^(2)a^(2)+a^(2)b^(2)) = 1//2 (a^(2) + b^(2) + c^(2))^(2)`

Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 1|36 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -I)|19 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

Similar Questions

Explore conceptually related problems

If a+b+c=0 then prove the following. a^(4) +b^(4) +c^(4) =2(b^(2)c^(2) +c^(2)a^(2) +a^(2)b^(2)) =(1)/(2) (a^(2)+b^(2)+c^(2))^(2)

If a+b+c=0 then prove the following. (bc+ca+ab)^(2) =b^(2)c^(2) +c^(2)a^(2) +a^(2)b^(2)=(1)/(4) (a^(2) +b^(2) +c^(2))^(2)

if a,b,c are in AP, prove that (a-c)^(2) = 4( b^(2) -ac)

In /_ABC, if c^(4)-2(a^(2)+b^(2))c^(2)+a^(4)+a^(2)b^(2)+b^(4)=0 then

If a^(2)+ b^(2) + c^(2)=0 , then what is ((a^(4)-b^(4))^(3)+(b^(4)-c^(4))^(3)+(c^(4)-a^(4))^(3))/((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3)) equal to?