Home
Class 12
MATHS
Prove that the lines 2x+3y=19 and 2x+3y+...

Prove that the lines `2x+3y=19 and 2x+3y+7=0` are equidistant from the line `2x+3y=6`.

Text Solution

Verified by Experts

Find a point on `2x+3y=6` and then its distnce from the 2 lines
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|33 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

Prove that the lines x+3y+2=0 and 3x-y=0 are perpendicular.

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Two straight lines x-3y-2=0 and 2x-6y-6=0

Which of the st.lines 2x-y+3=0 and x-4y-7=0 is farther from the origin ?

Which of the st.lines 2x-y+3=0 and x-4y-7=0 is farther from the origin ?

Find the equation of the line passing through the intersection of the lines 2x+y=5 and x+3y+8=0 and parallel to the line 3x+4y=7.

Show that the lines 2x+3y+11=0 and 2x-2y-1=0 are conjugate with respect to the circle x^(2)+y^(2)+4x+6y-12=0

AAKASH INSTITUTE-STRAIGHT LINES-TRY YOURSELF
  1. Let P(0,1)and Q(4,0) are two points. Find the slope of line perpendicu...

    Text Solution

    |

  2. Prove that (-2,-1),(1,0),(4,3)and (1,2) are vertices of a parallelogra...

    Text Solution

    |

  3. Find the angle between x-axis and line joining points (0,0) and (1, 2)...

    Text Solution

    |

  4. Find the value of x for which the points (1,-1),(2,1)and (x,5) are col...

    Text Solution

    |

  5. Find the equation of the line parallel to x-axis and passing through (...

    Text Solution

    |

  6. Find the equations of straight lines which pass through (2,1) and are ...

    Text Solution

    |

  7. Find the equation the straight line passing through (-2,3) and incline...

    Text Solution

    |

  8. Find the equation of the line passing through (0,a)and (b,0).

    Text Solution

    |

  9. Prove that the points A(4,3),B(3,0)and C(2,-3) are collinear. Also, fi...

    Text Solution

    |

  10. Find the equation of a line wiith slope -1 and cutting off an intercep...

    Text Solution

    |

  11. Find the equation of the line cutting off intercepts of 2 and 4 on neg...

    Text Solution

    |

  12. Find the equation of the line which passes through the point (5,6) and...

    Text Solution

    |

  13. Find the equation of the line whose perpendicular distance from origin...

    Text Solution

    |

  14. Find the equation of the straight line upon which the length of the ...

    Text Solution

    |

  15. Transform the equation of the line sqrt(3)x+y-8=0 to (i) slope interce...

    Text Solution

    |

  16. Reduce the lines 3x-4y+4=0\ a n d\ 2x+4y-5=0 to the normal form and he...

    Text Solution

    |

  17. Find the perpendicular distance from the origin of the perpendicular f...

    Text Solution

    |

  18. What are the points on the yaxis whose distance from the line x/3+y/4=...

    Text Solution

    |

  19. Find the distance between the parallel lines x+y=1and x+y+2=0

    Text Solution

    |

  20. Prove that the lines 2x+3y=19 and 2x+3y+7=0 are equidistant from the l...

    Text Solution

    |