Home
Class 11
MATHS
If the lines y = 3x + 1 and 2y = x + 3 a...

If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4, `((1)/(2) lt m lt 3)`, then the values of m are

Text Solution

Verified by Experts

The correct Answer is:
`(1 pm 5 sqrt 2)/7`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT TAMIL|Exercise EXERCISE 10.3|18 Videos

  • STATISTICS

    NCERT TAMIL|Exercise Miscellaneous Exercise On Chapter 15|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXAMPLES|10 Videos

Similar Questions

Explore conceptually related problems

If the lines x - y - 1 = 0, 4x + 3y = k and 2x – 3y +1 = 0 are concurrent, then k is

The line y = mx + 1 is a tangent to the curve y^(2) = 4x if the value of m is

If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find the value of adot

The points on the line x + y = 4 lying at a unit distance from the line 4x+3y-10=0 are

The line y = mx + 1 is a tangent to the parabola y^(2) = 4x if m = _____

if y=mx+7sqrt(3) is normal to (x^(2))/(18)-(y^(2))/(24)=1 then the value of m can be

If the line (x-2)/-1=(y+2)/1=(z+k)/4 is one of the angle bisector of the lines x/1=y/-2=z/3 and x/-2=y/3=z/1 then the value of k is

The straight lines represented by the equation 135 x^2-136 x y+33 y^2=0 are equally inclined to the line (a) x-2y=7 (b) x+2y=7 (c) x-2y=4 (d) 3x+2y=4

If line y-x-1+lambda=0 is equally inclined to axes and equidistant from the point (1,-2) and (3,4) ,the lambda is

NCERT TAMIL-STRAIGHT LINES-Miscellaneous Exercise on Chapter 10
  1. Find perpendicular distance from the origin of the line joining the po...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Find the value of p so that the three lines3x + y - 2 = 0, px + 2y - 3...

    Text Solution

    |

  6. If three lines whose equations are y = m(1) x + c(1) , y = m(2) x + c(...

    Text Solution

    |

  7. The equations of the lines through the point (3, 2) which makes an an...

    Text Solution

    |

  8. Find the equation of a line passing through the point of intersection ...

    Text Solution

    |

  9. Show that the equation of the line passing through the origin and maki...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Find the image of the points (3, 8) with respect to the line x+3y=7 as...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Find equation of the line which is equidistant from parallel lines 9x ...

    Text Solution

    |

  18. A ray of light coming from the point (1,2) is reflected at a point A o...

    Text Solution

    |

  19. Prove that the product of the lengths of the perpendiculars drawn from...

    Text Solution

    |

  20. A person standing at a junction (crossing) of two straight paths repr...

    Text Solution

    |