Home
Class 11
MATHS
Find the equation of the straight line p...

Find the equation of the straight line passing through the point of intersection of the lines `5x-6y-1=0a n d3x+2y+5=0` and perpendicular to the line `3x-5y+11=0.`

Text Solution

AI Generated Solution

To find the equation of the straight line passing through the point of intersection of the lines \(5x - 6y - 1 = 0\) and \(3x + 2y + 5 = 0\), and perpendicular to the line \(3x - 5y + 11 = 0\), we will follow these steps: ### Step 1: Find the point of intersection of the two lines. We have the equations: 1. \(5x - 6y - 1 = 0\) (Equation 1) 2. \(3x + 2y + 5 = 0\) (Equation 2) ...
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 a straight line passing through the point of intersection of the lines : 3x+y-9=0 and 4x+3y-7=0 and perpendicular to the line 5x-4y+1=0

Find the equation of the straight line passing through (3,4) and the point of the intersection of the lines 5x-y=9 and x+6y=8

Find the equation of the straight line which passes through the point of intersection of lines 3x-4y-7=0 and 12x-5y-13=0 and is perpendicular to the line 2x-3y+5=0

Find the equation of the line passing through the point of intersection of the lines x+5y+7=0 and 3x+2y-5=0 (b) perpendicular to the line 7x + 2y - 5 = 0

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

Find the equation of a straight line passing through the point of intersection of x+2y+3=0\ a n d\ 3x+4y+7=0 and perpendicular to the straight line x-y+9=0.

The equation of the line passing through the point of intersection of the line x-3y+2=0 and 2x+5y-7=0 and perpendicular to the line 3x+2y+5=0 is

Find the equation of a line passing through the point of intersection of the lines 3x+5y=-2 and 5x-2y=7 and perpendicular to the line 4x-5y+1=0 .

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Two vertices of a triangle are (3,-1) and (-2,3) and its orthocenter ...

    Text Solution

    |

  2. Two consecutive sides of a parallelogram are 4x+5y=0a d n7x+2y=0. If ...

    Text Solution

    |

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

    Text Solution

    |

  4. Show that the line x-y-6=0,4x-3y-20=0 and 6x+5y+8=0 are concurrent. Al...

    Text Solution

    |

  5. Three sides A B ,A Ca n dC A of triangle A B C are5x-3y+2=0,x-3y-2=0a ...

    Text Solution

    |

  6. Find the coordinates of the in centre and centroid of the triangle who...

    Text Solution

    |

  7. Show that the straight lines given by x(a+2b)+y(a+3b)=a for different ...

    Text Solution

    |

  8. If a ,b ,c are variables such that 3a+2b+4c=0 , then show that the fam...

    Text Solution

    |

  9. If the algebraic sum of the perpendiculars from the points (2,0),(0,2)...

    Text Solution

    |

  10. A ray of light is sent along the line x-2y-3=0 upon reaching the line ...

    Text Solution

    |

  11. lines L1:ax+by+c=0 and L2:lx+my+n=0 intersect at the point P and make ...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the equation of the straight line which cuts off intercept on ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |