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

Find the equation of a line which passes through the point `(2, 3, 4)` and which has equal intercepts on the axes.

Text Solution

Verified by Experts

The correct Answer is:
`(x-2)/(1)=(y-3)/(1)=(z-4)/(1)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 1|12 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line whichpasses through the point (2, 3) and cuts off equal intercepts on the axes. (A)

Find the equation of the plane which passes through the point (2,-3,7) and makes equal intercepts on the coordinate axes.

Find the equation of a line which passes through the point (1,3) and makes equal intercepts on X and Y -axis.

Find the equations of the line which passes through the point (3,4) and the sum of its intercepts on the axes is 14 .

Find the equation of a line which passes through the point (-3,7) and makes intercepts on the axes, equal in magnitude but opposite in sign.

Find the equation of the line which passes through the point (3, -5) and cuts off intercepts on the axes which are equal in magnitude but opposite in sign.

Find the equation of a plane passes through the point (1,2,3) and cuts equal intercepts on the co-ordinate axes.

Find the equation of a line which passes through the point (22,-6) and is such that the intercept on x-axes exceeds the intercept on y-axis by 5.

Find the equation to the straight line which passes through the point (5,6) and has intercepts on the axes. i)equal in magnitude and both postive ii)equal in magnitude but opposite in sign

ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the equation of a line which passes through the point (2, 3, 4) a...

    Text Solution

    |

  2. Consider a pyramid OPQRS located in the first octant (xge0, yge0, zge0...

    Text Solution

    |

  3. Let P be the image of the point (3, 1, 7) with respect to the plane x...

    Text Solution

    |

  4. From a point P(lambda, lambda, lambda), perpendicular PQ and PR are dr...

    Text Solution

    |

  5. Two lines L(1) : x=5, (y)/(3-alpha)=(z)/(-2) and L(2) : x=alpha, (y)/(...

    Text Solution

    |

  6. A line l passing through the origin is perpendicular to the lines 1:...

    Text Solution

    |

  7. Perpendicular are drawn from points on the line (x+2)/(2)=(y+1)/(-1)=...

    Text Solution

    |

  8. If the straight lines (x-1)/(2)=(y+1)/(k)=(z)/(2) and (z+1)/(5)=(y+1)/...

    Text Solution

    |

  9. If the distance between the plane Ax-2y+z=d and the plane containing ...

    Text Solution

    |

  10. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  11. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  12. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  13. Consider three planes P(1):x-y+z=1 P(2):x+y-z=-1 and " "P...

    Text Solution

    |

  14. Consider the planes 3x-6y-2z=15a n d2x+y-2z=5. Statement 1:The parame...

    Text Solution

    |

  15. If the image of the point P(1,-2,3) in the plane, 2x+3y-4z+22=0 measur...

    Text Solution

    |

  16. The distance of the point (1, 3, -7) from the plane passing through th...

    Text Solution

    |

  17. The distance of the point (1,-5,""9) from the plane x-y+z=5 measured a...

    Text Solution

    |

  18. If the line, (x-3)/2=(y+2)/(-1)=(z+4)/3 lies in the place, l x+m y-z=9...

    Text Solution

    |

  19. The disatance of the point (1, 0, 2) from the point of intersection of...

    Text Solution

    |

  20. The equation of the plane containing the line 2x-5y+z=3, x+y+4z=5 and ...

    Text Solution

    |

  21. The angle between the lines whose direction cosines satisfy the equ...

    Text Solution

    |