Home
Class 12
MATHS
Find the values p so that line (1-x)/3=(...

Find the values `p` so that line `(1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)/(3p)=(y-5)/1=(6-z)/5` are at right angles.

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

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

    CENGAGE PUBLICATION|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

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

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 .

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

find the angle between the pair of lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)/1=(y-4)/1=(z-5)/2

Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-2)/3=(y-4)/4=(z-5)/5 .

Find the angle between the lines (x-7)/(2)=(y-6)/(3)=(z+2)/(-4) and (2-x)/(-1)=(y-9)/(5)=(z-12)/(4) .

Consider the lines (x-5)/(3)=(y-7)/(-16)=(z-3)/(7) and (x-9)/(3)=(y-13)/(8)=(z-15)/(-5) , then-

Find the angle between the lines (x-5)/(7)=(y+2)/(-5)=(z-9)/(1) and (x-5)/(2)=(y-10)/(2)=(z-9)/(-4) .

The angle between the straight lines (x-4)/(2)=(y-5)/(0)=(z-6)/(0) and (3-x)/(3)=(y-7)/(0)=(z-3)/(0) is -

Write the vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) .

CENGAGE PUBLICATION-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Find the coordinates of a point on the (x-1)/2=(y+1)/(-3)=z atg a d...

    Text Solution

    |

  2. Line L1 is parallel to vector vecalpha=-3 hat i+2 hat j+4 hat k and p...

    Text Solution

    |

  3. Find the values p so that line (1-x)/3=(7y-14)/(2p)=(z-3)/2a n d(7-7x)...

    Text Solution

    |

  4. Find the angel between the following pair of lines: vec r=2 hat i...

    Text Solution

    |

  5. Find the condition if lines x=a y+b ,z=c y+da n dx=a^(prime)y+b^(prime...

    Text Solution

    |

  6. Find the acute angle between the lines (x-1)/l=(y+1)/m=1/na n d=(x+...

    Text Solution

    |

  7. Find the length of the perpendicular drawn from point (2,3,4) to li...

    Text Solution

    |

  8. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  9. Find the vector equation of the line passing through (1,2,3) and par...

    Text Solution

    |

  10. The value of m for which the straight line 3x-2y+z+3 = 0=4x-3y+4z+1. i...

    Text Solution

    |

  11. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

    Text Solution

    |

  12. Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find ...

    Text Solution

    |

  13. Find the vector equation of line passing through the point (1,2,-4)...

    Text Solution

    |

  14. Find the vector equation of line passing through A(3,4-7)a n dB(1,-...

    Text Solution

    |

  15. Find Cartesian and vector equation of the line which passes through...

    Text Solution

    |

  16. Find the equation of a line which passes through the point (2,3,4) ...

    Text Solution

    |

  17. Find the points where line (x-1)/2=(y+2)/(-1)=z/1 intersects x y ,y za...

    Text Solution

    |

  18. A mirror and source of light are situated at the origin O and a point ...

    Text Solution

    |

  19. The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Fi...

    Text Solution

    |

  20. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its dire...

    Text Solution

    |