Home
Class 11
MATHS
If a+b +c ne 0, the system of equations...

If ` a+b +c ne 0`, the system of equations
`(b+c) (y+z)-ax=b-c`,
`(c+a) (z+x)-by=c-a`,
`(a+b)(x+y)-cz=a-b` has

A

a unique solution

B

no solution

C

infinite number of solutions

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise PROPERTIES OF VECTORS|17 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DOT PRODUCT OF TWO VECTORS|34 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise INVERSE OF A MATRIX|8 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If abc ne 0 and the system of equations x + 7 ay + 2az = 0, x + 6 by + 2 bz = 0, x + 5cy + 2cz = 0 has a non-zerotrivial solution, then a,b,c are in

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

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

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

If A, B, C are the angles of triangle, the system of equations (sinA) x+y+z=cosA , x+(sinB)y+z=cosB , x+y+(sinC)z=1-cosC has

The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

If a, b are non-zero real numbers and if the system of equations (a-1)x=y+z, (b-1)y=z+x, (c-1)z=x+y , has a non-trivial solution, then ab+bc+ca equals

If a, b, c are non-zero real numbers and if the equations (a-1) x = y +z, (b-1) y = z + x , (c - 1) z = x + y have a non-trival solution, then ab+bc+ca=