Home
Class 12
MATHS
Find the point of intersection of the li...

Find the point of intersection of the lines `(x-1)/(3)=(y-1)/(-1) = z+2’and `(x-4)/(2)=y=(z+1)/(3)`.

Text Solution

Verified by Experts

The correct Answer is:
`lambda=1, mu=0" " (4, 0,-1)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.1|14 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.2|10 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

Find the point of intersection of the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-4)/(5)=(y-1)/(2)=z .

The point of intersection of the lines (x-5)/3=(y-7)/(-1)=(z+2)/1 and (x+3)/(-36)=(y-3)/2=(z-6)/4 is (A) (21 ,5/3,(10)/3) (B) (2,10 ,4) (C) (-3,3,6) (D) (5,7,-2)

The equation of the plane which passes through the point of intersection of lines ""(x-1)/3=(y-2)/1=(z-3)/2"","and"(x-3)/1=(y-1)/2=(z-2)/3 and at greatest distance from point (0,0,0) is a. 4x+3y+5z=25 b. 4x+3y=5z=50 c. 3x+4y+5z=49 d. x+7y-5z=2

Find the distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/(12) and plane x-y+z=5.

Show that the disease of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane (x-y+z=5) from the point (-1,-5,-10) is 13 units.

Column I, Column II Image of the point (3,5,7) in the plane 2x+y+z=-18 is, p. (-1,1,-1) The point of intersection of the line (x-2)/(-3)=(y-1)/(-2)=(z-3)/2 and the plane 2x+y-z=3 is, q. (-21 ,-7,-5) The foot of the perpendicular from the point (1,1,2) to the plane 2x-2y+4z+5=0 is, r. (5/2,2/3,8/3) The intersection point of the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x-4)/5=(y-1)/2=z is, s. (-1/(12),(25)/(12),(-2)/(12))

The point of intersection of the line x-5/3=y-1/-1=z+2/1 and x+3/-36=y-3/2=z-6/4 is a)(21,5/3,10/3) b)(2,10,4) c)(-3,3,6) d)(5,7,-2)

The distance of the point (-1,-5,-10) from the point of intersection of the line (x-2)/2=(y+1)/4=(z-2)/12 and the plane x-y+z=5 is

The line (x-x_1)/0=(y-y_1)/1=(z-z_1)/2 is

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Answer the following questions)
  1. Find the point of intersection of the lines (x-1)/(3)=(y-1)/(-1) = z+2...

    Text Solution

    |

  2. Prove that the sum of the squares of the squares of tha diagonals of a...

    Text Solution

    |

  3. Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vec...

    Text Solution

    |

  4. Find the vector and cartesian equation of the line through the point (...

    Text Solution

    |

  5. Find the vector and cartesian equation of the line joining the points ...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

    Text Solution

    |

  8. Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...

    Text Solution

    |

  9. Find the vector and cartesian equation of a plane which is at a distan...

    Text Solution

    |

  10. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

  11. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

  12. Find the Vector and Cartesian equation of the plane containing the lin...

    Text Solution

    |

  13. Find the vector cartesian equation of the plane passing through the po...

    Text Solution

    |

  14. Find the vector and certesian equation of the plane through the points...

    Text Solution

    |

  15. Find the equation of the plane passing through the points (3, 4, 2), (...

    Text Solution

    |

  16. Find the equation of the plane passingthrough the intersection of the...

    Text Solution

    |

  17. Find the distance between the parallel planes vecr*(-hati-hatj+hatk)=3...

    Text Solution

    |

  18. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

    Text Solution

    |

  19. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

    Text Solution

    |

  20. If abs(veca+vecb)=abs(veca-vecb) prove that veca and vecb are perpendi...

    Text Solution

    |

  21. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

    Text Solution

    |