Home
Class 12
MATHS
If the planes x-cy-bz=0, cx-y+az=0 and b...

If the planes `x-cy-bz=0, cx-y+az=0 and bx+ay-z=0` pass through a line, then the value of `a^2+b^2+c^2+2abc` is

A

0

B

1

C

`-1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PLANE

    TARGET PUBLICATION|Exercise COMPETATIVE THINKING|89 Videos

  • PAIR OF STRAIGHT LINES

    TARGET PUBLICATION|Exercise EVALUATION TEST|11 Videos

  • PROBABILITY DISTRIBUTION

    TARGET PUBLICATION|Exercise Evaluation test|5 Videos

Similar Questions

Explore conceptually related problems

If the planes x-cy-bz=0,cx=y+az=0 and bx+ay-z=0 pass through a straight line,then find the value of a^(2)+b^(2)+c^(2)+2abc

If planes x-cy-bz=0,cx-y+az=0 and bx+ay-z=0 pass through a straight line then a^(2)+b^(2)+c^(2)=

Knowledge Check

  • If the planes x - cy - bz = 0, cx - y + az = 0 and bx + ay - z = 0 pass through a straight line, then the value of a^(2) + b^(2) + c^(2) + 2abc is

    A
    2
    B
    3
    C
    0
    D
    1

  • If the planes x=cy+bz,y=az+cx and z=bx+ay pass through a line then a^(2)+b^(2)+c^(2)+2abc is equal to

    A
    `-1`
    B
    3
    C
    1
    D
    0

  • If the system of equations ax+ay-z=0, bx-y+bz=0 and -x+cy+cz=0 has a non-trivial solution, then the value of 1/(1+a)+1/(1+b)+1/(1+c) is

    A
    0
    B
    1
    C
    2
    D
    3

    • Similar Questions

    Explore conceptually related problems

    If planes x- cy - bz =0 , cx-y+az =0 and bx + ay - z=0 pass through a staight line the a^(2) +b^(2) +c^(2)=

    If the planes x=cy+bz,y=az+cx,z=bx+ay pass through a line, then a^2+b^2+c^2+2abc

    Let a,b,c be distinct non-negative numbers.If the lines ax+ay+c=0,x+1=0 and cx+cy+b=0 pass through the same point then a,c,b are in

    If 2ax-2y+3z=0,x+ay+2z=0, and 2+az=0 have a nontrivial solution,find the value of a.

    If x=ay-1=z-2, and x=3y-2=bz-2 lie in same plane then the value of a and b is

    Home
    Profile