Home
Class 12
MATHS
The value of k such that (x-4)/(1)=(y-2)...

The value of k such that `(x-4)/(1)=(y-2)/(1)=(z-k)/(2)` lies in the plane 2x-4y+z+7=0 is

A

7

B

`-7`

C

4

D

no value

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • STATISTICS

    AAKASH SERIES|Exercise EXERCISE-5.3|5 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

Similar Questions

Explore conceptually related problems

The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane 2x - y + z + 3 =0 is the line

If the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(13) lies in the plane 5x-y+z =a then a =

The angle between the line (x-1)/(2)=(y-2)/(1)=(z+3)/(-2) and the plane x+y+4=0 is equal to

If angle theta between the line (x+1)/(1) = (y-1)/(2) = (z-2)/(2) and the plane 2x - y + sqrt lamda z + 4 =0 is such that sin theta = 1/3, the value of lamda is

If angle theta between the line (x+1)/(1)=(y-2)/(2)=(z-2)/(2) and the plane 2x-y+sqrt(lambda)z+4=0 is such that sin theta=(1)/(3) then the value of lambda is

The point of intersection of the line ( x-1)/( 3) = (y+2)/( 4) = (z-3)/(-2) and plane 2x - y + 3z -1=0 is

If theta is the angle between the line (x+1)/(3) = (y-1)/(2) = (z-2)/(4) and the plane 2x + y - 3z +4=0 then (8)/(29)(cosec ^(2) theta) =

Find the angle between the line (x+1)/(3)=(y-1)/(2)=(z-1)/(4) and the plane 2x+y-3z+4=0 .

If the straight line (4,3,5) and (x-4)/(1) = (y -2)/(1) = (z-k)/(2) intersect at a point, then the integer k is equal to

AAKASH SERIES-STRAIGHT LINES (3D)-PRACTICE EXERCISE
  1. The line x = 1, y = 2 is

    Text Solution

    |

  2. The distance between the line (x-2)/(1)=(y+2)/(-1)=(z-2)/(4) and the...

    Text Solution

    |

  3. The value of k such that (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies in the pla...

    Text Solution

    |

  4. If the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(13) lies in the plane 5x-y+z ...

    Text Solution

    |

  5. The line (x-2)/(3)=(y+1)/(2)=(z-1)/(-1) intersect the curve x^(2)+y^(2...

    Text Solution

    |

  6. Equation of the line 2x + z - 4 = 0 = 2y + z in symmetric form is

    Text Solution

    |

  7. Equation of a line passing through (1,-2, 3) and parallel to the plane...

    Text Solution

    |

  8. The line (x-1)/(3)=(y-3)/(k)=(z+1)/(5) is perpendicular to the plane 6...

    Text Solution

    |

  9. The foot of the perpendicular from the point (1,2,3) to the line (x)/(...

    Text Solution

    |

  10. The image of the point (1, 2, 3) in the line (x)/(2)=(y-1)/(3)=(z-1)/(...

    Text Solution

    |

  11. The point of intersection of the lines (x-4)/(1)=(y+3)/(-4)=(z+1)/(4) ...

    Text Solution

    |

  12. The shortest distance· between the two· lines (x- 4) / 1 = (y+ 1) / 2 ...

    Text Solution

    |

  13. The equation of a line through (-2, 3, 4) and parallel to the planes 2...

    Text Solution

    |

  14. A plane which passes through the point (3,2,0) and the line (x-3)/(1)=...

    Text Solution

    |

  15. Distance of the origin from the point of intersection of the line (x)/...

    Text Solution

    |

  16. If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...

    Text Solution

    |

  17. A line makes the same angle theta, with each of the x and z axis. If t...

    Text Solution

    |

  18. If a line makes an angle of pi//4with the positive directions of each ...

    Text Solution

    |

  19. The line passing through the points (5,1,a) and (3,b,1) cross the yz -...

    Text Solution

    |

  20. A line AB in three-dimensional space makes angles 45^(@) " and " 120^(...

    Text Solution

    |