Home
Class 12
MATHS
If plane x + 4y - 2z = 1, x + 7y – 5z =...

If plane `x + 4y - 2z = 1, x + 7y – 5z = beta, x + 5y + alphaz = 5` intersects in a line `(R xx R xx R)` then `alpha + beta` is equal to

Text Solution

Verified by Experts

The correct Answer is:
10
Promotional Banner

Topper's Solved these Questions

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|105 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS))|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

If the system of equations 2x 3y – z = 5 x alpha y 3z = –4 3x – y beta z = 7 has infinitely many solutions, then 13 alpha beta is equal to

2x + 3y-5z = 7, x + y + z = 6,3x-4y + 2z = 1, then x =

For real numbers alpha and beta ne 0 , if the point of intersection of the straight lines ( x - alpha)/( 1) = ( y - 1)/( 2) = ( z -1)/( 3) and ( x - 4) / ( beta) = ( y - 6)/( 3) = ( z - 7)/(3) , lies on the plane x + 2y - z = 8 then alpha - beta is equal to

Let the equation of the plane, that passes through the point (1, 4, - 3) and contains the line of intersection of the planes 3x - 2y + 4z -7 = 0 and x + 5y - 2z + 9 = 0, be alphax + betay + gammaz+3=0 , then alpha + beta + gamma is equal to :

If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + alphaz = beta has infinitely many solution, then beta - alpha equals

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to

Suppose the line (x-2)/(alpha) = (y-2)/(-5) = (z+2)/(2) lies on the plane x + 3y - 2z + beta = 0 . Then (alpha + beta) is equal to ________.

MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)
  1. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alpha+...

    Text Solution

    |

  2. For a non-zero real number x, u, v, w if the points with position vect...

    Text Solution

    |

  3. If four points with position vectors A(-i+2j+3k),B(-i-12j-3k),C(2i-j-4...

    Text Solution

    |

  4. A non zero vector veca is parallel to the line of intersection of the ...

    Text Solution

    |

  5. Suppose direction cosines of two lines L(1)andL(2) are related by l+m+...

    Text Solution

    |

  6. If Q(5/3,7/3,17,3) is foot of perpendicular drawn from P(1, 0, 3) on a...

    Text Solution

    |

  7. A line passing through A(2,-1,5)andB(4,3,-10) meets the xy-plane at (x...

    Text Solution

    |

  8. A variable plane in space moves in such a way that the sum of its reci...

    Text Solution

    |

  9. If plane x + 4y - 2z = 1, x + 7y – 5z = beta, x + 5y + alphaz = 5 in...

    Text Solution

    |

  10. Suppose a and b lie on a plane normal to the plane containing c and d....

    Text Solution

    |

  11. A tetrahedron has vertices P(1,2,1),Q(2,1,3),R(-1,1,2) and O(0,0,0). T...

    Text Solution

    |

  12. The length of the perpendicular from the point (2, -1, 4) on the strai...

    Text Solution

    |

  13. If a point R(4,y,z) lies on the line segment joining the points P(2,-3...

    Text Solution

    |

  14. The vertices B and C of a DeltaABC lie on the line, (x+2)/(3)=(y-1)/(0...

    Text Solution

    |

  15. If the plane 2x-y+2x+3=0 has the distances (1)/(3) and (2)/(3) units f...

    Text Solution

    |

  16. The distance of the point having position vector -hati+ 2 hatj + 6 hat...

    Text Solution

    |

  17. Let V = Volume of the tetrahedron whose vertices are A(1,0,0),B(0,0,1)...

    Text Solution

    |

  18. If the symmetrical form of line of intersection of planes 4x-3y=1,2y-4...

    Text Solution

    |

  19. Let d = the distance of point A(4,1,1) from the line of intersection o...

    Text Solution

    |

  20. If equation of the plane through the parallel lines (x+1)/(3)=(y-2)/...

    Text Solution

    |