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 (Subjective Type Questions)|9 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 11 : Subjective Type Questions|1 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 9 : Match Type Questions|7 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 lines ax+12y+1=0, bx+13y+1=0 and cx+14y+1=0 are concurrent, then a,b,c are in:

Given planes P_1:cy+bz=x P_2:az+cx=y P_3:bx+ay=z P_1, P_2 and P_3 pass through one line, if

If the lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 (a, b,c being distinct) are concurrent, then

If the equation ax^2+by^2+cx+cy=0 represents a pair of straight lines , then

If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the values of a for which the line 5x+b y-a=0 passes through Pa n dQdot

Given x=cy+bz,y=az+cx and z=bx+ay, then prove a^(2) +b^(2) +c^(2) +2abc =1.

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Integer Answer Type Questions)
  1. If the perpendicular distance of the point (6 5, 8) from the y-axis is...

    Text Solution

    |

  2. If the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/...

    Text Solution

    |

  3. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  4. If xz-plane divide the join of point (2, 3, 4) and (1, -1, 5) in the r...

    Text Solution

    |

  5. If the triangle ABC whose vertices are A(-1, 1, 1), B(1, -1, 1) and C(...

    Text Solution

    |

  6. The equation of a plane which bisects the line joining (1, 5, 7) and (...

    Text Solution

    |

  7. The shortest distance between origin and a point on the space curve ...

    Text Solution

    |

  8. Show that the plane2x-2y+a+12=0 touches the sphere x^(2)+y^(2)+z^(2)-2...

    Text Solution

    |

  9. If the centroid of tetrahedron OABC where A,B,C are given by (a,2,3),(...

    Text Solution

    |

  10. If the circumcentre of the triangle whose vertices are (3, 2, -5), (-...

    Text Solution

    |

  11. If overline(P1P2) is perpendicular to overline(P2P3), then the value o...

    Text Solution

    |

  12. Let the equation of the plane containing line x-y-z-4=0=x+y+2z-4 and...

    Text Solution

    |

  13. Let P(a, b, c) be any on the plane 3x+2y+z=7, then find the least valu...

    Text Solution

    |

  14. The plane denoted by P1 : 4x+7y+4z+81=0 is rotated through a right ang...

    Text Solution

    |

  15. The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/...

    Text Solution

    |

  16. The position vectors of the four angular points of a tetrahedron OABC ...

    Text Solution

    |

  17. Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday...

    Text Solution

    |

  18. If the lattice point P(x, y, z) , x, y, zgto and x, y, zinI with least...

    Text Solution

    |

  19. If the line x=y=z intersect the lines xsinA+ysinB+zsinC-2d^(2)=0, xsi...

    Text Solution

    |

  20. The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(...

    Text Solution

    |