Home
Class 12
MATHS
If abc=p and A=[(a,b,c),(c,a,b),(b,c,a)]...

If `abc=p` and `A=[(a,b,c),(c,a,b),(b,c,a)]`, prove that A is orthogonal if and only if a, b, c are the roots of the equation `x^(3) pm x^(2)-p=0`.

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)|49 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)|17 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (SUBJECTIVE) (Level-I)|12 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If a,b,c in Q, then roots of the equation (b+c-2a)x^(2)+(c+a-2b)x+(a+b-2c)=0 are

If a+b+c=0, a,b,c in Q then roots of the equation (b+c-a) x ^(2) + (c+a-c) =0 are:

If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a) x-a=0 are :

In a Delta ABC, ifsin Aandsin B are the roots of the equation c^(2)x^(2)-c(a+b)x+ab=0 then find /_C .

If b is the harmonic mean of a and c and alpha,beta are the roots of the equation a(b-c)x^(2)+b(c-a)x+c(a-b)=0