Home
Class 12
MATHS
Equations of the line passing through th...

Equations of the line passing through the origin and the point (a,b,c) are

A

` (x-a)/(x-0) = (y-b)/(y-0)=(z-c)/(z-0)`

B

`(x-a)/a=(y-b)/b=(z-c)/c`

C

`(x-a)/(b-c)=(y-b)/(c-a)=(z-c)/(a-b)`

D

`a(x-a)=b(y-b)=c(z-c)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • LINEAR PROGRAMMING PROBLEM [L.P.P] (OPTIMIZATION TECHNIQUES)

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|10 Videos

Similar Questions

Explore conceptually related problems

The vector equations of a line passing through the origin and the point (5,-2,3) is

The cartesian equation of a line passing through the origin and point (5,-2,3) is

Find the equation of the straight line passing through the origin and the point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1.

equation of line passing through 2 given points

Combined equation of the lines passing through the origin and perpendicular to the lines 2x^(2)-3xy+y^(2)=0 is

find the equation of the straight line passing through the origin and the middle point of intercept of the line ax+by+c=0 between the axes

The combine equation of the lines passing through the origin and having slopes 3 and 2 is

MARVEL PUBLICATION-LINE IN SPACE -MULTIPLE CHOICE QUESTIONS
  1. Equations of the line passing through (a,b,c) and perpendicular to Z -...

    Text Solution

    |

  2. Line (x-2)/(-2) = (y+1)/(-3) = (z-5)/1 intersects the plane 3x+4y+z...

    Text Solution

    |

  3. Equations of the line passing through the origin and the point (a,b,c)...

    Text Solution

    |

  4. Equations of the line passing through (-1,2,-3) and parallel to the li...

    Text Solution

    |

  5. Equations of the line through (4,-5,6) and perpendicular to the lines ...

    Text Solution

    |

  6. Line (x-1)/2= (y-2)/3=(z-3)/4 intersects the plane 3x+6y+5z = 0 in th...

    Text Solution

    |

  7. The point at which the line joining the points (2, -3, 1) and (3, -4, ...

    Text Solution

    |

  8. Distance of the points of intersection of the line (x-3)/(1)=(y-4)/(2)...

    Text Solution

    |

  9. Distance from the point (-3,2,5) to the point where the line (x+3)/2= ...

    Text Solution

    |

  10. Distance of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2...

    Text Solution

    |

  11. Distance of the point (1,-2,3) from the plane x-y+z = 5 measured paral...

    Text Solution

    |

  12. Co - ordinates of the foot of the perpendicular drawn from the origin ...

    Text Solution

    |

  13. The line (x-2)/3 = (y-3)/4 = (z-4)/5 is parallel to the plane

    Text Solution

    |

  14. If the line (x-4)/(1)=(y-2)/(1)=(z-k)/(2) lies exactly on the plane 2x...

    Text Solution

    |

  15. Equation of the plane containing the line L(1) : (x-1)/3 = (y+6)/...

    Text Solution

    |

  16. Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y –...

    Text Solution

    |

  17. Equation of the plane E which contains the line L : x = (y-3)/2 = (z-5...

    Text Solution

    |

  18. Find the equation of the plane which contains two parallel to lines (x...

    Text Solution

    |

  19. Find ten equation of the plane passing through the point (0,7,-7) and ...

    Text Solution

    |

  20. Foot of the perpendicular drawn from the origin to the line x-2 = (y+3...

    Text Solution

    |