Home
Class 11
MATHS
Find the equations of the lines through ...

Find the equations of the lines through the point of intersection of the lines `x -y+1=0` and` 2x-3y+5= 0`whose distance from the point`(3, 2)` is `7/5`

Text Solution

Verified by Experts

Given,
`x -y+1=0->(1)` and` 2x-3y+5= 0->(2)`
putting value of `x` from `(1)` in `(2)` we get,
`=>2(y-1)-3y+5=0`
`=>2y-2-3y+5=0`
`=>-y+3=0`
`=>y=3`
...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos
  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line through the point of intersection of,the lines x-3y+1=0 and 2x+5y-9-0 and whose distance from the origin is sqrt(5)

Find the point of intersection of the line 5x+7y=3 and 2x-3y=7

Find the equations of the line passing through the point of intersection of the lines 3x-2y+4 = 0 , 2x-5y = 1 and whose distance from (2, –1) is 2 .

Equation of the line through the point of intersection of the lines 3x+2y+4=0 and 2x+5y-1=0 whose distance from (2,-1) is 2 .

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

The equation of the straight line through the point of intersection of lines x-3y+1=0 and 2x+5y-9=0 and whose distance from the origin is 5

The equation of the line through the intersection of the lines 2x-3y=0 and 4x-5y=2 and

Find the equation of the straight line passing through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0 and at a distance 7/5 from the point (3, 2)

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Find the equation of the straight line which cuts off intercept on ...

    Text Solution

    |

  2. Find the equation of the straight line passing through the point of ...

    Text Solution

    |

  3. Find the equations of the lines through the point of intersection of t...

    Text Solution

    |

  4. Write the area of the figure formed by the lines a|x|+b|y|+c=0.

    Text Solution

    |

  5. If theta is the acute angle between the lines with slopes m1 and m2 th...

    Text Solution

    |

  6. A straight line L is perpendicular to the line 5x-y=1. The area of the...

    Text Solution

    |

  7. Find the image of the point (-8,12) with respect to line mirror 4x+7y+...

    Text Solution

    |

  8. Show that the equation of a line passing through (acos3theta,asin^3the...

    Text Solution

    |

  9. Find the equation of a straight line parallel to 2x+3+11=0 and which i...

    Text Solution

    |

  10. Find the coordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  11. If the lines p1x+q1y=1,p2x+q2y=1a n dp3x+q3y=1, be concurrent, show th...

    Text Solution

    |

  12. Prove that the medians of a triangle are concurrent and find the posit...

    Text Solution

    |

  13. Show that the altitudes of a triangle are concurrent

    Text Solution

    |

  14. Two sides of an isosceles triangle are given by the equations 7x-y+3=0...

    Text Solution

    |

  15. Let P (x1,y1) be a point and let ax + by+ c = 0 be a line. If L (h, k)...

    Text Solution

    |

  16. Find the equations the sides of an isosceles right angled triangle the...

    Text Solution

    |

  17. A line 4x+y=1 passes through the point A(2,-7) and meets line BC at B ...

    Text Solution

    |

  18. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

    Text Solution

    |

  19. If two opposite vertices of square are (1,2) and (5.8), find the coord...

    Text Solution

    |

  20. Find the equation of the straight line which passes through the inte...

    Text Solution

    |