Home
Class 11
MATHS
Prove that the line through the point (x...

Prove that the line through the point `(x_1, y_1)` and parallel to the line `A x+B y+C=0` is ` A(x-x_1)+B(y-y_1)=0`

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos
  • TRIGNOMETRC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|140 Videos

Similar Questions

Explore conceptually related problems

Prove that the line through the point (x_1,y_1) and parallel to the line Ax + By + C = 0 is A (x- x_1) + B (y- y_1) = 0

The equation of the line passing through (a,b) and parallel to the line (x)/(a)+(y)/(b)=1 is

The equation of the plane through the point (2,-1,-3) and parallel to the lines (x-1)/(3)= (y+2)/(2)= ( z)/(-4) and ( x)/(2)= (y-1)/(-3) = (z-2)/(2) is

Equation of the line through the point (2,3,1) and parallel to the line of intersection of the planes x - 2y - z + 5 =0 and x + y + 3z = 6 is

A line passes through (x_1, y_1) and (h, k) . If slope of the line is m , show that k-y_1=m(h-x_1)

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

Consider the line 4x-3y+12=0 Find the equation of the line passing through the point (1,2) and parallel to the given line.

Find the slope of the line x/a+y/b=1

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

Find the equation of the line passing through the point of intersection of the lines 4 x+7 y-3=0 and 2 x-3 y+1=0 that has equal intercepts on the axes.

V PUBLICATION-STRAIGHT LINES-QUESTIONBANK
  1. Find the slope of the straight lines sqrt3x+y=1, x+sqrt3y=1 Also f...

    Text Solution

    |

  2. The line through the points (h, 3) and (4,1) intersects the line 7 x-9...

    Text Solution

    |

  3. Prove that the line through the point (x1, y1) and parallel to the lin...

    Text Solution

    |

  4. Find the equation of the perpendicular bisector of the line segment jo...

    Text Solution

    |

  5. Find the coordinates of the foot of the perpendicủlar from the point (...

    Text Solution

    |

  6. The perpendicular from the origin to the line y=m x+c meets it at the ...

    Text Solution

    |

  7. In the triangle A B C with vertices A(2,3), B(4,-1) and C(1,2). Find t...

    Text Solution

    |

  8. If' p is the length of perpendicular from the origin to the line whose...

    Text Solution

    |

  9. If the lines 2 x+y-3=0,5 x+k y-3=0 and 3 x-y-2=0 are concurrent, find ...

    Text Solution

    |

  10. Find the distance of the line 4 x-doty=0 from the point P(4,1) measure...

    Text Solution

    |

  11. Assume that straight lines work as the plane mirror for a point,find t...

    Text Solution

    |

  12. Show that the path of a moving point such that its distance from two l...

    Text Solution

    |

  13. Find the values of theta and p if the equation x cos theta+y sin theta...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the points on the x -axis, whose distances from the line x/3+y/4=...

    Text Solution

    |

  16. Find the equation of the line parallel to y - axis' and drawn thróugh ...

    Text Solution

    |

  17. Find the equation of a line drawn perpendicular to the line x/4+y/6=1 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If three lines whose equations are y =m1 x+c1, y=m2 x+c2 and y=m3 x+c3...

    Text Solution

    |