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 angel, then find the value of `k`.

A

`-10/7`

B

`-7/10`

C

`-10`

D

`-7`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - B|47 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - C|14 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise TRY YOURSELF|97 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

If the lines (x-1)/(-3)=(y-2)/(-2y)=(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.

If the lines (x+1)/(-3)-(y+2)/(2k)-(z-3)/(2) and (x-1)/(3k)-(y+5)/(1)-(z+6)/(7) are perpendicular, then the value of k is

If the lines (x-2)/(1)=(y-3)/(1)=(x-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar,then k can have

AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. The coordinates of the point in which the line joining the points (2,...

    Text Solution

    |

  2. Find the angle between the planes 2x - y + 3z = 6 and x + y +2z =7.

    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. A unit vector perpendicular to the plane of veca = 2hati -6hatj -3hat...

    Text Solution

    |

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

    Text Solution

    |

  6. If the lines (x-1)/2=(y+1)/3=z/(5t-1) and (x+1)/(2s+1)=y/2=z/4 are p...

    Text Solution

    |

  7. Find value of lambda if two lines having direction ratios 1, -2, 3 and...

    Text Solution

    |

  8. If plane passes through the point (1, 1,1) and is perpendicular to the...

    Text Solution

    |

  9. Find the equation of a plane containing the line of intersection of...

    Text Solution

    |

  10. The plane passing through the point (-2, -2, -3) and containing the ...

    Text Solution

    |

  11. Equation of plane parallel to 3x + 4y + 5z - 6 = 0, 6x + 8y + 10z - 16...

    Text Solution

    |

  12. If the plane 3x - 4y + 5z = 0 is parallel to (2x-1)/4=(1-y)/(3)=(z-2)...

    Text Solution

    |

  13. Find the foot of perpendicular from (0, 2, 3) to the line (x-3)/2= (...

    Text Solution

    |

  14. The shortest distance between the lines (x-1)/2= (y-1)/3=(z+2)/6and ...

    Text Solution

    |

  15. Prove that the acute angle between two diagonals of a cube is cos^-1(1...

    Text Solution

    |

  16. The distance of a plane 3x + 4y - 5z = 60 from origin

    Text Solution

    |

  17. The equation of line through the point (2, -1, 3) and which is equall...

    Text Solution

    |

  18. The lines (x-1)/1=(y-2)/2=(z-3)/(3) and (x-1)/1=y/3 =z/4 are

    Text Solution

    |

  19. The equation of the plane through the line of intersection of the plan...

    Text Solution

    |

  20. Lines vecr = veca(1) + lambda vecb(1) and vecr = veca(2) + svecb(2) wi...

    Text Solution

    |