Home
Class 12
MATHS
If xyz=m and det p=|{:(x,y,z),(z,x,y),(y...

If xyz=m and det `p=|{:(x,y,z),(z,x,y),(y,z,x):}|` , where p is an orthogonal matrix.
The value of `x^3+y^3+z^3` can be

A

6m `+- 1`

B

` 3m +-1`

C

`+-3m `

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise MATCH THE COLUMN|4 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • MATRICES

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

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

If xyz=m and det p=|{:(x,y,z),(z,x,y),(y,z,x):}| , where p is an orthogonal matrix. The value of x^(-1)+y^(-1)+z^(-1) is

If xyz=m and det p=|{:(x,y,z),(z,x,y),(y,z,x):}| , where p is an orthogonal matrix. If y=x=z, then z is equal to

If A=[(x,y,z),(y,z,x),(z,x,y)] and A^3=I_3 and xyz=2 and x+y+z gt 0 find the value of x^3+y^3+z^3 is

if x = 332 , y= 333 , z, =335 then the value of x^3 + y^3 +z^3- 3 xyz is

prove that: |(y+z,z,y),(z,z+x,x),(y,x,x+y)|=4xyz

If x + y + z = 6 and x^2 + y^2 + z^2= 20 then the value of x^3 + y^3 + z^3 - 3xyz is