Home
Class 12
MATHS
(A) find the equation of a line parallel...

(A) find the equation of a line parallel to x-axis and passing through the origin.
(b) Find the direction-cosines of a line parallel to the line :
`(2x - 5)/(4) = (y + 4)/(3) = (6 - z)/(6)`.
(c) Write the direction-cosines of a line parallel to the line :
`(3 - x)/(3) = (y + 2)/(-2) = (z + 2)/(6)`.

Text Solution

Verified by Experts

The correct Answer is:
(a) `(x)/(1) = (y)/(0) = (z)/(0) " " (b) lt (2)/(7), (3)/(7) , (-6)/(7) gt " " (c) lt - (3)/(7), (-2)/(7), (6)/(7) gt`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (B) (LONG ANSWER TYPE QUESTIONS (I) )|10 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (B) (LONG ANSWER TYPE QUESTIONS (II) )|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise EXERCISE 11 (A) (LONG ANSWER TYPE QUESTIONS (II) )|2 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (1)|12 Videos
  • VECTOR ALGEBRA

    MODERN PUBLICATION|Exercise CHAPTER TEST 10|12 Videos

Similar Questions

Explore conceptually related problems

Write the direction cosines of a line parallel to Z-axis.

The direction cosines of a line parallel to the line (x+1)/(2)=(y)/(-3)=(z-5)/(6) are

Find the equation of a line parallel to the line 3x-4y+2=0 and passing through the point. (-2,5) .

Find the equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,5) .

find equation of the line parallel to the line 3x-4y+2=0 and passing through the point (-2,3)

Find the vector equation of the line parallel to the line : (x -1)/(5) = (3 -y)/(2) = (z + 1)/(4)

Find the equation of the line which is parallel to 3x-2y+5=0 and passes through the point (5,-6)

If a equations of a line are (3-x)/(-3) =(y+2)/(-2) =(z+2)/(6) , Find the direction cosines of a line parallel to the given line.

The equation of a line given by (4-x)/3=(y+3)/3=(z+2)/6dot Write the direction cosines of a line parallel to this line.

The equations of a line are (4-x)/(2) =(y+3)/(2)=(z+2)/(1).Find the direction cosines of a line parallel to this line.

MODERN PUBLICATION-THREE DIMENSIONAL GEOMETRY -EXERCISE 11 (B) (SHORT ANSWER TYPE QUESTIONS )
  1. Show that the three lines with direction cosines (12)/(13),(-3)/(13),...

    Text Solution

    |

  2. Express the following equation of the lines into vector form : (x -...

    Text Solution

    |

  3. Find the cartesian as well as the vector equation of the line passing ...

    Text Solution

    |

  4. (A) The cartesian equations of a line are : (i) (x - 5)/(3) = (y + ...

    Text Solution

    |

  5. (A) find the equation of a line parallel to x-axis and passing through...

    Text Solution

    |

  6. (A ) Find the vector and cartesian equations of the line through the p...

    Text Solution

    |

  7. Find the equation of the line in vector and in cartesian form that ...

    Text Solution

    |

  8. Find the vector equation of the line passing thought the points (-1,\ ...

    Text Solution

    |

  9. Find the vector and cartesian equations of the line that passes throug...

    Text Solution

    |

  10. (A ) Find the equation of a st. line through (-1,2,3) and equally incl...

    Text Solution

    |

  11. Find the angle between the pairs of lines with direction-ratios : (...

    Text Solution

    |

  12. The angle between a line with direction ratios proportional to 2, 2, ...

    Text Solution

    |

  13. Find the angle between the following pairs of lines : (i) vec(r) = ...

    Text Solution

    |

  14. Show that the lines : (i) (x -5)/(7) = (y + 2)/(-5) = (z)/(1) " " a...

    Text Solution

    |

  15. (i) Find the value of 'p' so that the lines : l(1) : (1 - x)/(3) = (...

    Text Solution

    |

  16. Show that the line through the points : (a) (1, -1, 2), (3,4,-2) is ...

    Text Solution

    |