Home
Class 12
MATHS
A line has slope m and y-intercept 4. Th...

A line has slope m and y-intercept 4. The distance between the origin and the line is equal to

A

`(4)/(sqrt(1-m^(2)))`

B

`(4)/(sqrt(m^(2)-1))`

C

`(4)/(sqrt(m^(2)+1))`

D

`(4m)/(sqrt(1+m^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos
  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

Find distance between X-axis and line y=-4.

A line with slope (m) and y-intercept (c) can be expressed through the equation =_____.

Find the equartion of straight lines, making a y intercept of 3 units and the angle between the line and the y axis is 60^(@) .

Find the equation of the straight lines, making the y-intercept of 7 and angle between the line and the y-axis is 30^(@) .

Find the slope and y-intercept of the line given by the equation 2y-3x=12.

A straight line with slope 3 intersects a straight line with slope 6 at the point (30,40). Then the difference between the y-intercepts of the straight lines is

The line L has intercepts a and b on the coordinate axes. Keeping the origin fixed, the coordinate axes are rotated through a fixed angle. If the line L has intercepts p and q on the rotated axes, then (1)/(a^(2))+(1)/(b^(2))  is equal to

The slope of a line is double of the slope of another line. Iftangent of the angle between them (1)/(3) , find the slopes of the lines.

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. A line passes through the point of intersection of the lines 100x + 5...

    Text Solution

    |

  2. The circumcentre of the triangle with vertices (0, 30), (4,0) and (30...

    Text Solution

    |

  3. A line has slope m and y-intercept 4. The distance between the origin...

    Text Solution

    |

  4. One side of length 3a of a triangle of area a^(2) square units lies on...

    Text Solution

    |

  5. The distance of the point (1, 2) from the line x + y + 5 = 0 measured...

    Text Solution

    |

  6. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the li...

    Text Solution

    |

  7. The vertices of a triangle are (3, 0), (3,3) and (0, 3). Then the coo...

    Text Solution

    |

  8. If the distance between (2, 3) and (-5, 2) is equal to the distance be...

    Text Solution

    |

  9. If the three points (0, 1), (0, -1) and (x, 0) are vertices of an equ...

    Text Solution

    |

  10. If the line px - qy = r intersects the co-ordinate axes at (a,0) and ...

    Text Solution

    |

  11. The vertices of a triangle are A(3, 7), B(3, 4) and C(5, 4). The equa...

    Text Solution

    |

  12. The equation of a straight line which passes through the point (a cos...

    Text Solution

    |

  13. The slopes of the lines which make an angle 45^(@) with the line 3x -...

    Text Solution

    |

  14. The equation of one of the lines parallel to 4x – 3y=5 and at a unit ...

    Text Solution

    |

  15. The distance between the points (a cos alpha, a sin alpha) and (a cos...

    Text Solution

    |

  16. The vertices of the rectangle ABCD are A(-1,0), B(2, 0), C(a, b) and ...

    Text Solution

    |

  17. If a straight line passes through the points ((-1)/(2), 1)and (1, 2),...

    Text Solution

    |

  18. The line parallel to the x-axis and passing through the intersection ...

    Text Solution

    |

  19. The line L has intercepts a and b on the coordinate axes. Keeping the...

    Text Solution

    |

  20. The equation of the perpendicular bisector of the line segment joinin...

    Text Solution

    |