Home
Class 12
MATHS
Find the values of p so that the lines (...

Find the values of p so that the lines `(1-x)/3 = (7y-14)/(2p) = (z-3)/2` and ` (7-7x)/(3p) = (y-5)/1 = (6-z)/5` are at right angles.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

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

Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/5 and (x+1)/(-1) =(y- 2)/2=(z-5)/5 are coplanar.

Find the angle between the lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)/1=(y-4)/1=(z-5)/2 .

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

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

Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+2)/-1=(y-4)/8=(z-5)/4

Find the equation of the plane containing the lines (x-4)/1=(y-3)/4=(z-2)/5 and (x-3)/1=(y-2)/-4=(z+3)/5

If the lines (1-x)/3=(y-2)/(2a)= (z-3)/2 and (x-1)/(3a) =y-1 = (6-z)/5 are perpendicular then the value of a is a) (-10)/7 b) 10/7 c) (-10)/11 d) 10/11

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the angle between the following pairs of lines: i) vecr=2 hati-5...

    Text Solution

    |

  2. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

    Text Solution

    |

  3. Find the values of p so that the lines (1-x)/3 = (7y-14)/(2p) = (z-3)/...

    Text Solution

    |

  4. Show that the lines (x-5)/7=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpend...

    Text Solution

    |

  5. Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j...

    Text Solution

    |

  6. Find the shortest distance between the lines: (x+1)/7=(y+1)/(-6)=(z+1)...

    Text Solution

    |

  7. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  8. Find the shortest distance between the lines whose vector equations a...

    Text Solution

    |

  9. Find the vector equation of the plane which is at a distance of 6/(sqr...

    Text Solution

    |

  10. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  11. Find the distance of the plane 2x - 3y + 4z - 6 = 0 from the origin.

    Text Solution

    |

  12. Find the coordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  13. Find the vector and cartesian equations of the plane which passes thro...

    Text Solution

    |

  14. Find the vector equations of the plane passing through the points R(2...

    Text Solution

    |

  15. Find the equation of the plane with intercepts 2, 3 and 4 on the x,...

    Text Solution

    |

  16. Find the vector equation of the Plane Passing through the intersection...

    Text Solution

    |

  17. Show that the lines (x+3)/(-3)=(y-1)/(1)=(z-5)/5 and (x+1)/(-1) =(y...

    Text Solution

    |

  18. Find the angle between the two planes 2 x+y-2 z=5 and 3 x-6 y-2 z=7 us...

    Text Solution

    |

  19. Find the angle between the two planes 3 x-6 y+2 z=7 and 2 x+2 y-2 z=5

    Text Solution

    |

  20. Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 h...

    Text Solution

    |