Home
Class 11
MATHS
Show that the path of a moving point suc...

Show that the path of a moving point such that its distances from two lines `3x - 2y = 5 and 3x + 2y = 5` are equal is a straight line.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT GUJARATI|Exercise EXERCISE 10.1|11 Videos

  • STRAIGHT LINES

    NCERT GUJARATI|Exercise EXERCISE 10.2|19 Videos

  • STATISTICS

    NCERT GUJARATI|Exercise Miscellaneous Exercise On Chapter 15|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXAMPLES|10 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the parallel lines 3x-4y+7=0 and 3x - 4y + 5=0 .

Find the points on the line x+y=4 which lie at a unit distance from the line 4x+ 3y=10 .

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x - 12y =3 . The equation of its locus is ......... .

Find the points on the X-axis, whose distances from the line (x)/(3) + (y)/(5) =1 are 4 units.

The distance of the point of intersection of the lines 2 x- 3y + 5 = 0 and 3x + 4y =0 from the line 5x-2y =0 is

A line is such that its segment between the lines 5x-y + 4=0 and 3x + 4y - 4 =0 is bisected at the point (1,5) . Obtain its equation.

Find equation of the line which is equidistant from parallel lines 9x+6y-7=0 and 3x+2y+6=0 .

NCERT GUJARATI-STRAIGHT LINES-Miscellaneous Exercise on Chapter 10
  1. Show that the path of a moving point such that its distances from two ...

    Text Solution

    |

  2. Find the values of k for which the line (k-3) x-(4-k^2) y+k^2 -7k+6=0 ...

    Text Solution

    |

  3. Find the values of theta and p, if the equation x cos theta + y sin th...

    Text Solution

    |

  4. Find the equations of the lines, which cut-off intercepts on the axes ...

    Text Solution

    |

  5. What are the points on the Y- axis whose distance from the line (x)/( ...

    Text Solution

    |

  6. Find perpendicular distance from the origin to the line joining the po...

    Text Solution

    |

  7. Find the equation of the line parallel to Y -axis and drawn through th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the value of p so that the three lines 3x + y-2=0, px+2y-3 =0 and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |