Home
Class 12
MATHS
The value of the det. |[x+y,y+z,z+x],[z,...

The value of the `det. |[x+y,y+z,z+x],[z,x,y],[1,1,1]|` is

Text Solution

Verified by Experts

The correct Answer is:
`(x+y+z)xx0`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION IV) |4 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION V) |9 Videos

  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION II) (SHORT ANSWER TYPE QUESTIONS)|6 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARDS QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS)|94 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

Similar Questions

Explore conceptually related problems

The value of |[[1,x,y+z],[1,y,z+x],[1,z,x+y]]| is

Write the value of Delta = |(x+y, y +z , z +x),(z, x,y),(-3,-3,-3)|

Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y),(1,1,1)|

Without expanding, prove that Delta = abs{:(x+y, y + z, z+ x),(z, x , y),(1,1,1):} = 0

Find the values of x, y, z if the matrix A = [[0,2y,z],[x,y,-z],[x,-y,z]] satisfy the equation A'A = I

By using properties of determinants, show that : |[x+y+2z,x,y],[z,y+z+2x,y],[z,z,z+x+2y]| = 2(x+y+z)^3

Prove that : |[x+y+z,-z,-y],[-z, x+y+z, -x],[-y,-x,x+y+z]|= 2(x+y)(y+z)(z+x)

Show that: |[x-y-z,2x,2x],[2y,y-z-x,2y],[2z,2z,z-x-y]|=(x+y+z)^3