Home
Class 11
MATHS
Find the direction in which a straight l...

Find the direction in which a straight line must be drawn through the point `(-1, 2)` so that its point of intersection with the line `x + y = 4` may be at a distance of 3 units from this point.

Text Solution

Verified by Experts

The correct Answer is:
The line is parallel to x - axis or parallel to y- axis
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT BANGLISH|Exercise EXERCISE 10.3|18 Videos
  • STATISTICS

    NCERT BANGLISH|Exercise Miscellaneous Exercise On Chapter 15|7 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXAMPLES|10 Videos

Similar Questions

Explore conceptually related problems

In what direction should a line be drawn through the pont (1,2) so that its point of intersection with the lne x+y=4 is at a disatnce. sqrt6/3 from the given point?

Find the equation of the straight line passing through the point (2,0) and through the point of intersection of the lines x + 2y = 3 and 2x - 3y = 4

Find the equation of a straight line passing through the origin and through the point of intersection of the lines 5x + 7y =3 and 2x – 3y = 7

Find the equation of the straight line equidistant from the point (2,-2) and the line 3x-4y+1=0.

Find the gradient of a straight line which is passes through the point (-3, 6) and the mid point of (4, -5) and (-2, 9)

Find the equations of the two straight lines through the point (0,2) , which are at a distance of 2 unit from the point (4,4).

A straight line is drawn through the point P(2,3) and is inclined at an angle of 30^@ with the x-axis . Find the coordinates of two points on it at a distance 4 from point P.

Find the equation of the line passing through the point (1, 4) and intersecting the line x – 2y – 11 = 0 on the y-axis.

Find the equation of the straight lines passing through the point (2, 3) and inclined at pi/4 radian to the line 2x + 3y - 5 = 0

Find the equation of the straight line that passes through the point (3,4) and is perpendicular to the line 3x+2y+5=0

NCERT BANGLISH-STRAIGHT LINES-Miscellaneous Exercise on Chapter 10
  1. Find perpendicular distance from the origin to the line joining the po...

    Text Solution

    |

  2. Find the equation of the line parallel to y-axis and drawn through the...

    Text Solution

    |

  3. Find the equation of a line drawn perpendicular to the line x/4 + y/6 ...

    Text Solution

    |

  4. Find the area of the triangle formed by the lines y - x = 0, x + y = 0...

    Text Solution

    |

  5. Find the value of p so that the three lines3x + y - 2 = 0, px + 2y - 3...

    Text Solution

    |

  6. If three lines whose equations are y = m(1) x + c(1) , y = m(2) x + c(...

    Text Solution

    |

  7. Find the equation of the lines through the point (3, 2) which make an ...

    Text Solution

    |

  8. Find the equation of the line passing through the point of intersectio...

    Text Solution

    |

  9. Show that the equation of the line passing through the origin and maki...

    Text Solution

    |

  10. In what ratio, the line joining (-1, 1) " and " (5, 7) is divided by ...

    Text Solution

    |

  11. Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) a...

    Text Solution

    |

  12. Find the direction in which a straight line must be drawn through the ...

    Text Solution

    |

  13. The hypotenuse of a right angled triangle has its ends at the points (...

    Text Solution

    |

  14. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

    Text Solution

    |

  15. If the lines y = 3x + 1 " and " 2y = x + 3 are equally inclined to the...

    Text Solution

    |

  16. If sum of the perpendicular distances of a variable point P(x, y) from...

    Text Solution

    |

  17. Find equation of the line which is equidistant from parallel lines 9x ...

    Text Solution

    |

  18. Aray of light passing through the point (1, 2) reflects on the x-axis ...

    Text Solution

    |

  19. Prove that the product of the lengths of the perpendiculars drawn from...

    Text Solution

    |

  20. A person standing at the junction (crossing) of two straight paths rep...

    Text Solution

    |