Home
Class 12
MATHS
The point of intersection of the lin...

The point of intersection of the lines ` ( x + 1 )/( 3 ) = ( y + 3 ) /( 5 ) = ( z+ 5 ) /( 7 ) and ( x - 2 )/( 1) = ( y - 4 ) /( 3 ) = ( z - 6 )/ ( 5 ) ` is

A

`(1/2,1/2,1/2)`

B

`(1/2,1/2,-3/2)`

C

`(1/3,-1/3,-2/3)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 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 coordinates of the point of intersection for the following lines : ( x -3 ) /(1) = ( y - 5 ) /( 2 ) = ( z - 1 ) /(- 1) and ( x - 4 ) /(2) = ( y - 2 ) /( - 1) = ( z - 4 ) /(2)

Find the point of intersection of the line 5x+7y=3 and 2x-3y=7

Point of intersection of the line (x-1)/2 = (y-2)/3 = (z+3)/4 and the plane 2x+4y -z=1 is

Show that the lines : (x + 1)/(3) = (y + 3)/(5) = (z + 5)/(7) and " " (x -2)/(1) = (y - 4)/(3) = (z -6)/(5) intersect each other. Also, find the their point of intersection.

The point of intersection of the line (x-1)/3=(y+2)/4=(z-3)/-2 and the plane 2x-y+3z-1=0 , is

(i) Find the vector and cartesian equation of the line passing through the point (1,2,-4) and perpendicular to the two lines : (x - 8)/(3) = (y + 19)/(-16) = (z - 10)/(7) and (x - 15)/(3) = (y - 19)/(8) = (z - 5)/(-5) . (ii) Find the vector and cartesian equations of the line passing through the point (2,1,3) and perpendicular to the lines : (x -1)/(1) = (y -2)/(2) = (z - 3)/(3) and (x)/(-3) = (y)/(2) = (z)/(5) .

Find the point of intersection of the lines (x+1)/(-3)=(y-3)/(2)=(z+2)/(1)and(x)/(1)=(y-7)/(-3)=(z+7)/(2)

DISHA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Exercise -1 : Concept Builder (Topicwise)
  1. Distance of the point P(vecc) from the line vecr=veca+lamdavecb is

    Text Solution

    |

  2. The length of the perpendicular drawn from the point (3,-1,11) to the...

    Text Solution

    |

  3. The point of intersection of the lines ( x + 1 )/( 3 ) = ( ...

    Text Solution

    |

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

    Text Solution

    |

  5. The lines which intersect the skew lines y=m x ,z=c ; y=-m x ,z=-c ...

    Text Solution

    |

  6. Find the equations of the perpendicular from the point (1, 6, 3) to th...

    Text Solution

    |

  7. The length of the perpendicular drawn from the point (3,-1,11) to the...

    Text Solution

    |

  8. The foot of the perpendicular form (2,4,-1) to the line x +5 =(1)/...

    Text Solution

    |

  9. The line through hati+3hatj+2hatk and perpendicular to the lines vecr=...

    Text Solution

    |

  10. If a line with direction ration 2: 2: 1 intersects the lines (x-7)/3=(...

    Text Solution

    |

  11. Find the shortest distance between the lines (x+3)/(-4) =(y-6)...

    Text Solution

    |

  12. A line with direction cosines proportional to 2,1,2 meet each of the l...

    Text Solution

    |

  13. If the straight lines (x-1)/k = (y-2)/2 = (z-3) and (x-2)/3 = (y-3)/k ...

    Text Solution

    |

  14. The vector equation of the line of intersection of the planes vecr=vec...

    Text Solution

    |

  15. find the equation of a plane passing through the points (2,-1,0) and (...

    Text Solution

    |

  16. The planes 3x - y + z + 1 = 0 , 5x + y + 3z = 0 intersect in the line...

    Text Solution

    |

  17. A variable plane moves so that the sum of the reciprocals of its inter...

    Text Solution

    |

  18. What is the condition for the plane ax + by + cz + d = 0 to be perpend...

    Text Solution

    |

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

    Text Solution

    |

  20. Equation of the plane through the mid - point of the line segment join...

    Text Solution

    |