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

Text Solution

Verified by Experts

The correct Answer is:
`1`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 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)=

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 and z=bx+ay pass through a line then a^(2)+b^(2)+c^(2)+2abc is equal to

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

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  2. Consider a pyramid OPQRS located in the first octant (xge0, yge0, zge0...

    Text Solution

    |

  3. Let P be the image of the point (3, 1, 7) with respect to the plane x...

    Text Solution

    |

  4. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  5. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  6. A line l passing through the origin is perpendicular to the lines 1:...

    Text Solution

    |

  7. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  9. If the distance between the plane Ax-2y+z=d and the plane containing ...

    Text Solution

    |

  10. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  11. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  12. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  13. Consider three planes P(1):x-y+z=1 P(2):x+y-z=-1 and " "P...

    Text Solution

    |

  14. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  15. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |

  16. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  19. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  20. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  21. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |