Home
Class 11
MATHS
Find the equation of the line parallel t...

Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines `x-7y+5=0\ a n d\ 3x+y=0.`

Text Solution

AI Generated Solution

To find the equation of the line parallel to the y-axis that passes through the point of intersection of the lines \(x - 7y + 5 = 0\) and \(3x + y = 0\), we can follow these steps: ### Step 1: Find the point of intersection of the two lines. We have the equations: 1. \(x - 7y + 5 = 0\) (Equation 1) 2. \(3x + y = 0\) (Equation 2) From Equation 1, we can express \(x\) in terms of \(y\): ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line parallel to yaxis and drawn through the point of intersection of the lines x-7y+5=0 and 3x+y=0 .

Find the equation of line parallel to the y-axis and drawn through the point of intersection of x \ - 7y+\ 5\ =\ 0 and 3x+y =\ 0 .

Find the equation of line parallel to the y-axis and drawn through the point of intersection of x \ 7y+\ 5\ =\ 0 and 3x+y \ 7\ =\ 0 .

Find the equation of the line passing through the point of intersection of the lines 4x-7y-3=0\ a n d\ 2x-3y+1=0 that has equal intercept to axes.

Find the equation of the straight line drawn through the point of intersection of the lines x+y=4\ a n d\ 2x-3y=1 and perpendicular to the line cutting off intercepts 5,6 on the axes.

Find the equation of the circle passing through the point of intersection of the lines x+3y=0\ a n d\ 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0\ a n d\ x-2y+4=0.

The equation of a line is 3x + 4y - 7 = 0 . Find: the equation of a line perpendicular to the given line and passing through the intersection of the lines x - y + 2 = 0 and 3x + y - 10 = 0 .

Find the equation of the line joining the point (3,5) to the point of intersection of the lines 4x+y-1=0\ a n d\ 7x-3y-35=0

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.

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

NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. What are the points on the yaxis whose distance from the line x/3+y/4=...

    Text Solution

    |

  2. Find perpendicular distance from the origin of the line joining the p...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. If three lines whose equations are y=m1x+c1,y=m2x+c2and y=m3x+c3are c...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the equation of the line passing through the point of intersecti...

    Text Solution

    |

  10. Show that the equation of the straight line through the origin angle v...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If the lines y" "=" "3x" "+" "1 and 2y" "=" "x" "+" "3 are equally ...

    Text Solution

    |

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

    Text Solution

    |

  18. Find equation of the line which is equidistant from parallel lines ...

    Text Solution

    |

  19. A ray of light passing through the point (1, 2) reflects on the xax...

    Text Solution

    |

  20. Prove that the product of the lengths of the perpendiculars drawn fro...

    Text Solution

    |