Home
Class 12
MATHS
Find the equation of a line which pas...

Find the equation of a line which passes through the point `(1,1,1)` and intersects the lines `(x-1)/2=(y-2)/3=(z-3)/4a n d(x+2)/1=(y-3)/2=(z+1)/4dot`

A

`(x-1)/3=(y-1)/10=(z-1)/(17)`

B

`(x-1)/2=(y-1)/3=(z-1)/(-5)`

C

`(x-1)/(-2)=(y-1)/1=(z-1)/(-4)`

D

`(x-1)/(8)=(y-1)/(-2)=(z-1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -1 : Concept Builder (Topicwise)|60 Videos
  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos
  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a line which passes through the point (1,1,1) and intersects the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4)and(x+2)/(1)=(y-3)/(2)=(z+1)/(4)

Find the equation of the line passing through the point (3,1,2) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 and x/(-3)=y/2=z/5

Find the equations of the line passing through the point (-1, 2,1 ) and parallel to the line (2x-1)/4=(3y+5)/2=(2-z)/3dot

Find the equation of the line passing through the point (2, 1, 3) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3andx/(-3)=y/2=z/5

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=50c3x+4y+5z=49d.x+7y-5z=2

The line which passes through the origin and intersect the two lines (x-1)/(2)=(y+3)/(4)=(z-5)/(3) and (x-4)/(2)=(y+3)/(2)=(z-14)/(4) is :

Find the equation of the line passing through the point (1, 2, 3) and perpendicular to the lines (x-1)/(3)=(y-3)/(1)=(z-4)/(-5)and(x-1)/(1)=(y-2)/(2)=(z-3)/(3)

Find the equation of the line passing through the point (-1,2,3) and perpendicular to the lines (x)/(2)=(y-1)/(-3)=(z+2)/(-2) and (x+3)/(-1)=(y+3)/(2)=(z-1)/(3)

DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -2 : Concept Applicator
  1. The angle between the plane 2x + 3y - 8z = 0 and the line .(x-2)/1=(y...

    Text Solution

    |

  2. Find the direction cosines of the two lines which are connected by ...

    Text Solution

    |

  3. Find the equation of a line which passes through the point (1,1,1) ...

    Text Solution

    |

  4. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

    Text Solution

    |

  5. The equation of the line intersection of the planes 4x+4y-5z=12 and 8x...

    Text Solution

    |

  6. If the straighat lines x=1+s,y=-3-lamdas,z=1+lamdas and x=t/2,y=1+t,z=...

    Text Solution

    |

  7. The line which contains all points (x, y, z) which are of the form (x,...

    Text Solution

    |

  8. Show that the points A(1,2,3), B(-1,-2,-1), C(2,3,2), D(4,7,6) are the...

    Text Solution

    |

  9. The shortest distance between the line 1+x=2y=-12z and x=y+2=6z-6 is

    Text Solution

    |

  10. The line which passes through the origin and intersect the two lines (...

    Text Solution

    |

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

    Text Solution

    |

  12. The distance between the line given by vecr= hati+hatj + lamda(hati-2...

    Text Solution

    |

  13. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

    Text Solution

    |

  14. The coordinates o the foot of the perpendicular drawn from the orig...

    Text Solution

    |

  15. If A,B,C are point (1,0,4) , (0,-1,5) and (2,-3,1) respectively , then...

    Text Solution

    |

  16. If from a point P(a ,b ,c) prpendiculars P Aa n dP B are drawn to y za...

    Text Solution

    |

  17. The equation of the plane which makes with coordinate axes a triangle ...

    Text Solution

    |

  18. The plane ax+by=0 is rotated through an angle alpha about its line of ...

    Text Solution

    |

  19. The plane x + 3y + 13 = 0 passes through the line of intersection of t...

    Text Solution

    |

  20. A variable plane at distance of 1 unit from the origin cuts the coordi...

    Text Solution

    |