Home
Class 12
MATHS
The distance between the lines y=mx+c1 a...

The distance between the lines `y=mx+c_1` and `y=mx+c_2` is

A

`(|c_(1)-c_(2)|)/(sqrt(m^(2)-1))`

B

`(|c_(1)-c_(2)|)/(sqrt(1-m^(2)))`

C

`(|c_(1)-c_(2)|)/(sqrt(m^(2)-1))`

D

`(|c_(1)+c_(2)|)/(sqrt(1+m^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|33 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise TRY YOURSELF|23 Videos

  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the lines y=xm+c and y=mx+d .

Find the distance between the parallel lines y=mx+c and y=mx+d.

If (a,b) and (c,d) are two points on the whose equation is y=mx+k , then the distance between (a,b) and (c,d) in terms of a,c and m is

Find the distance between the two parallel straight lines y = mx + c and y = mx + d ? ["Assume" c gt d]

The lines y = mx bisects the angle between the lines ax^(2) +2hxy +by^(2) = 0 if

If the area enclosed between the parabola y^(2)=4x and the line y = mx is (1/3) sq. unit, then : m =

The condition that the line y=mx+c may be a secant to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The lines which intersect the skew lines y=mx,z=c;y=-mx,z=-c and the x- axis lie on the surface a.cz=mxy b.xy=cmz c.cy=mxz d.none of these

AAKASH INSTITUTE-STRAIGHT LINES-ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)
  1. The equation of line passing through the point (-4,-5) and perpendicul...

    Text Solution

    |

  2. The equation of the line, which is perpendicular to 5x-2y=7 and passes...

    Text Solution

    |

  3. In what ratio is the line joining the points (2,3)a n d(4,1) divides t...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the equation of the straight line which passes through the point ...

    Text Solution

    |

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

    Text Solution

    |

  7. A line cutting off intercept -3 from the Y-axis and the tangent at ang...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the equation of the straight line on which the length of the p...

    Text Solution

    |

  10. The equation of straight line passing through the point of intersectio...

    Text Solution

    |

  11. If the intercept of a line between the coordinate axes is divided by ...

    Text Solution

    |

  12. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  13. The equation of the line through the origin and perpendiculr to the li...

    Text Solution

    |

  14. A line passes through (2,2) and is perpendicular to the line 3x+y=3, i...

    Text Solution

    |

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

    Text Solution

    |

  16. The distance of the point P(1,-3) from the line 2y-3x=4 is

    Text Solution

    |

  17. 26, The distance between the lines 3x + 4y = 9 and 6x + 8y + 15-0 is 3...

    Text Solution

    |

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

    Text Solution

    |

  19. What are the points on x-axis whose perpendicular distance from the li...

    Text Solution

    |

  20. The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...

    Text Solution

    |