Home
Class 12
MATHS
Find the vector equation of line passing...

Find the vector equation of line passing through point (1,2,-4) and perpendicular to two lines `(x-8)/3 = (y+19)/-16 = (z-10)/7 and (x-15)/3 = (y-25)/8 =(z-5)/-5`

A

`(x-1)/(2)=(y-2)/(3)=(z+4)/(8)`

B

`(x-2)/(2)=(y-3)/(3)=(z-6)/(8)`

C

`(x-1)/(2)=(y-2)/(3)=(z+4)/(6)`

D

`(x-2)/(1)=(y-3)/(2)=(z-6)/(-4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LINE

    TARGET PUBLICATION|Exercise Competitive Thinking|45 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

  • LINE

    TARGET PUBLICATION|Exercise Evaluation Test|1 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

  • LINEAR PROGRAMMING

    TARGET PUBLICATION|Exercise Evaluation Test|11 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of 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-29)/(8)=(z-5)/(-5)

Find the vector 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-29)/(8)=(z-5)/(-5)

Find the equation of a line passing through the point (-1,0) and perpendicular to the line x+5y=4 .

Find the Vector and Cartesian equations 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-29)/(8)=(z-5)/(-5)

Determine the equations of the line passing through the point (1, 2, -4 ) and perpendicular to the two lines (x-8)/8=(y+9)/(-16)=(z-10)/7a n d(x-15)/3=(y-29)/8=(z-5)/(-5)dot

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0

Find the equation of a line passes through the point (-2,1) and perpendicular to the line 3x+y=5 .

(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 vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0

Find the equation of the line passing through the point (2, 3) and perpendicular to the line 4x+3y=10.

TARGET PUBLICATION-LINE-Critical Thinking
  1. Equation of a line passing through the point with position vector 2hat...

    Text Solution

    |

  2. The vector equation of the line passing through (2,3,4) and parallel t...

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of line passing through the midpoint of the line joining ...

    Text Solution

    |

  5. If G be centroid of the triangle with vertices (1,2,0),(0,0,2) and (2,...

    Text Solution

    |

  6. The equation of line is barr=barp+t(barq-barp), where P(barp)-=(3,4,1)...

    Text Solution

    |

  7. If the line joining the points P(-2,1,-8) and Q(a,b,c) is in the direc...

    Text Solution

    |

  8. If x co-ordinate of a point on the line joining points (2,2,1) and (5,...

    Text Solution

    |

  9. The line joining points (3,4,1) and (5,1,6) meets XY-plane at the poin...

    Text Solution

    |

  10. D.c.s of a line segment AB are (-2)/(sqrt(17)),(3)/(sqrt(17)),(-2)/(sq...

    Text Solution

    |

  11. The lines barr=(2hati+hatj-3hatk)+((t)/(sqrt(6)))(2hati-hatj+hatk)an...

    Text Solution

    |

  12. The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and ve...

    Text Solution

    |

  13. If the lines (x-1)/(2)=(y-1)/(lambda)=(z-3)/(0) and (x-2)/(1)=(y-3)/...

    Text Solution

    |

  14. The lines and (x-1)/(3)=(y-2)/(4)=(z-3)/(5) (x-1)/(2)=(y-2)/(3)=(z-3)...

    Text Solution

    |

  15. Let veca=hati+hatj and vecb=2hati-hatk. Then the point of intersection...

    Text Solution

    |

  16. If the sum of the squares of the distances of a point from the three c...

    Text Solution

    |

  17. The foot of perpendicular from the point (1,2,3) to the line (x)/(2)=(...

    Text Solution

    |

  18. The co-ordinates of the foot of the perpendicular from the point (3,-1...

    Text Solution

    |

  19. Find the foot of the perpendicular from the point (0,2,3) on the line ...

    Text Solution

    |

  20. The length of perpendicular from the origin to the line vecr=(4hati=2h...

    Text Solution

    |