Home
Class 12
MATHS
The slopes of the lines, which make an a...

The slopes of the lines, which make an angle `45^(@)` with the line 3x -3y-25=0 is

A

`1,-1`

B

`1/2,-1`

C

`1,1/2`

D

`-2, 1/2`

Text Solution

Verified by Experts

The correct Answer is:
D

Let m be the required slope.
`|(m-3)/(1+3m)|=1`
`Rightarrow (m-3)/(1+3m) = -+1`
` Rightarrow m -3 =1 +3 m`
` or m -3 = -1-3 m`
`Rightarrow m =-2 `
` Rightarrow m= 1/2 `
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2(MISCELLANEOUS PROBLEMS)|30 Videos
  • SOLVED PAPER 2019

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|150 Videos
  • THREE DIMENSIONAL GEOMETRY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

Similar Questions

Explore conceptually related problems

The slopes of the lines which make an angle 45^(@) with the line 3x-y=-5 is

Find the slope of the lines which make an angle of 45^(@) with the line 3x-y+5=0

Find the slope of the lines which makee an angle of 45^0 with the line x-2y=3

Find the equation of the lines through the point (3,2) which make an angle of 45^(@) with the line x-2y=3

Find the slope of a line which makes an angle of 45^(@) with positive direction of X-axis.

Joint equation of two lines through the origin, each making angle of 45^(@) with line 3x-y=0 is

The equation of a tangent to the parabola y^(2)=8x which makes an angle 45^(@) with the line y = 3x + 5 is

The equations of the straight lines through (3, 2) which make acute angle of 45^(@) with the line x- 2y - 3 = 0 is (are)

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
  1. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

    Text Solution

    |

  2. The equations y= +-sqrt3 x,y =1 are the sides of

    Text Solution

    |

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

    Text Solution

    |

  4. The image of the origin with reference to the line 4x+3y -25=0 is

    Text Solution

    |

  5. The length of perpendicular from the point ( a cos prop, a sin prop) ...

    Text Solution

    |

  6. L is a variable line such that the algebraic sum of the distances of ...

    Text Solution

    |

  7. The perpendicular bisector of the line segment joining P (1, 4) and ...

    Text Solution

    |

  8. A line passes through the point of intersection of the line 3x+y+1=0 a...

    Text Solution

    |

  9. The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,...

    Text Solution

    |

  10. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  11. If the lines kx-2y-1=0 and 6x-4y-m=0 are identical (coindent) lines, t...

    Text Solution

    |

  12. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  13. The line passing through the point of intersection of x + y = 2,x-y = ...

    Text Solution

    |

  14. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  15. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

    Text Solution

    |

  16. If (sin theta, cos theta) and (3,2) lie on the same side of the line x...

    Text Solution

    |

  17. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |

  18. A straight line through the point (1,1) meets the X-axis at A and Y-ax...

    Text Solution

    |

  19. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  20. The three straight lines ax+by=c, bx+cy=a and cx +ay =b are collinear,...

    Text Solution

    |