Home
Class 12
MATHS
If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)...

If the lines `(x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2)` and `(x-1)/(3k)=(y-5)/1=(z-6)/(-5)` are at right angle, then find the value of `k`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2)a n d(x-1)/(3k)=(y-5)/1=(z-6)/(-5) are at right angel, then find the value of kdot

If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6)/(-5) are perpendicular, find the value of k.

In sub-parts (i) and (ii) choose the correct option and in sub-parts (iii) to (v), answer the questions as instructed. Find k so that the lines (1-x)/(3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-5)/(1)=(6-z)/(5) are at right angles .

The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar, if

The lines (x-1)/(3) = (y+1)/(2) = (z-1)/(5) and x= (y-1)/(3) = (z+1)/(-2)

If the line (x-1)/(-3) = (y-2)/(2k) = (z-3)/( 2) and (x-1)/( 3k) = (y-5)/(1) = (6-z)/(5) are mutually perpendicular, then k is equal to

If the lines (x-1)/(-3)=(y-2)/(-2k)=(z-3)/2 and (x-1)/k=(y-2)/1=(z-3)/5 are perpendicular, find the value of k and hence find the equation of plane containing these lines.

The lines (x-2)/1=(y-3)/2=(z-4)/(-2k) and (x-1)/k=(y-2)/3=(z-6)/1 are coplanar if

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

The lines (x-2)/(1) = (y-3)/(1) =(z-4)/(-k) and (x-3)/(k)=(y-4)/(1) = (z-5)/(1) are coplanar if the values of k are

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the plane of the intersection of x^2+y^2+z^2+2x+2y+2=0 and 4x^2...

    Text Solution

    |

  2. Let l1a n dl2 be the two skew lines. If P ,Q are two distinct points o...

    Text Solution

    |

  3. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(...

    Text Solution

    |

  4. Find the angle between the lines 2x=3y=-z and 6x=-y=-4z

    Text Solution

    |

  5. Find the length of the perpendicular drawn from the point(5,4,-1) t...

    Text Solution

    |

  6. The equations of motion of a rocket are x=2t ,y=-4ta n dz=4t , wher...

    Text Solution

    |

  7. Find the shortest distance between the lines vec r=(1-lambda) hat i...

    Text Solution

    |

  8. Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=...

    Text Solution

    |

  9. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersect...

    Text Solution

    |

  10. Find the shortest distance between the z-axis and the line, x+y+2z-3=0...

    Text Solution

    |

  11. The lines which intersect the skew lines y=m x ,z=c ; y=-m x ,z=-c a...

    Text Solution

    |

  12. Distance of the point P( vec p) from the line vec r= vec a+lambda ve...

    Text Solution

    |

  13. The direction ratios of a normal to the plane through (1,0,0)a n d(...

    Text Solution

    |

  14. The centre of the circle given by vec rdot( hat i+2 hat j+2 hat k)=...

    Text Solution

    |

  15. Two systems of rectangular axes have the same origin. If a plane cu...

    Text Solution

    |

  16. Find the equation of a plane which passes through the point (3, 2, 0...

    Text Solution

    |

  17. The lines (x-2)/1=(y-3)/1=(z-4)/(-k)a n d(x-1)/k=(y-4)/2=(z-5)/1 are ...

    Text Solution

    |

  18. The point of intersection of the lines (x-5)/(3)=(y-7)/(-1)and(x+3)/(-...

    Text Solution

    |

  19. A tetrahedron has vertices of O(0, 0, 0), A(1, 2, 1), B(2, 1, 3) and C...

    Text Solution

    |

  20. The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4...

    Text Solution

    |