Home
Class 11
MATHS
Equation of the line passing through (1,...

Equation of the line passing through `(1,2)` and parallel to the line `y=3x-1` is

A

`y+2=x+1`

B

`y+2=3(x+1)`

C

`y-2=3(x-1)`

D

`y-2=x-1`

Text Solution

Verified by Experts

The correct Answer is:
C

Since, the line passes through `(1,2)` and parallel to the line `y=3x-1`.
So, slope of the required line `m=3` [`because` of `y=3x-1` is3]
Hence, the equation of line is `y-2=3(x-1)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT EXEMPLAR|Exercise Fillers|6 Videos
  • STRAIGHT LINES

    NCERT EXEMPLAR|Exercise TRUE/FALSE|9 Videos
  • STRAIGHT LINES

    NCERT EXEMPLAR|Exercise Long Answer type|9 Videos
  • STATISTICS

    NCERT EXEMPLAR|Exercise FILLERS|7 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT EXEMPLAR|Exercise TRUE/FALSE|9 Videos

Similar Questions

Explore conceptually related problems

The equation of the line passing through (1,-2) and parallel to the line 8x-4y+7=0 is

Equations of the line passing through (-1,2,-3) and parallel to the line (x-2)/3 = (y+1)/(-5) = (z+3)/(-7) are

Find the Cartesian equations of the line passing through (-1,-1,2) and parallel to the line 2x-2=3y+1=6z-2

The equation of the line passing through (1,2,3) and parallel to the planes x-y+2z=5 and 3x+y+z=6 is.

Equation of the line passing through (1,1,1) and parallel to the plane 2x+3y+z+5=0

Equation of a line passing through (1,-2,3) and parallel to the plane 2x+3y+z+5=0 is

Find the equation of the line passing through the point (2,-5) and parallel to the line 2x-3y=7.

Find the vector equation of the line passing through the point A(1,2,1) and parallel to the line 5x25=147y=35z

Find the equations of the line passing through the point (-1, 2,1 ) and parallel to the line (2x-1)/4=(3y+5)/2=(2-z)/3dot

NCERT EXEMPLAR-STRAIGHT LINES-Objective type questions
  1. A line cutting off intercept -3 from the Y-axis and the tangent at ang...

    Text Solution

    |

  2. Slope of a line which cuts off intercepts of equal lengths on the axes...

    Text Solution

    |

  3. The equation of the straight line passing through the point (3,2) and ...

    Text Solution

    |

  4. The equation of the line passing through the point (1,2) and perpendic...

    Text Solution

    |

  5. Find the tangent of the angle between the lines whose intercepts n the...

    Text Solution

    |

  6. If the line x/a+y/b=1 passes through the points a (2,- 3) and (4, - 5)...

    Text Solution

    |

  7. The distance of the point of intersection of the lines 2x-3y+5=0 and 3...

    Text Solution

    |

  8. Show that the equations of eth straight lines passing through the poin...

    Text Solution

    |

  9. Find the equations of lines passing through the point (1,0) and a dist...

    Text Solution

    |

  10. The distance between the lines y=mx+c1 and y=mx+c2 is

    Text Solution

    |

  11. Find coordinates of the foot of perpendicular, image and equation of p...

    Text Solution

    |

  12. If the coordinates of the middle point of the portion of a line interc...

    Text Solution

    |

  13. Equation of the line passing through (1,2) and parallel to the line y=...

    Text Solution

    |

  14. Find the equations of the diagonals of the square formed by the lines ...

    Text Solution

    |

  15. For specifying a straight line, how many geomatrical parameters should...

    Text Solution

    |

  16. The point (4,1) undergoes the following two successive transformations...

    Text Solution

    |

  17. A point equidistant from the line 4x + 3y + 10 = 0, 5x-12y + 26 = 0 an...

    Text Solution

    |

  18. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  19. Find the ratio in which the line 3x+4y+2=0 divides the distance betwee...

    Text Solution

    |

  20. Find the coordinates of one vertex of an equilateral triangle with cen...

    Text Solution

    |