Home
Class 11
MATHS
Angle made with the x-axis by a straight...

Angle made with the x-axis by a straight line drawn through (1, 2) so that it intersects `x+y=4` at a distance `(sqrt(6))/3` from (1, 2) is `105^0` (b) `75^0` (c) `60^0` (d) `15^0`

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`75^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|99 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

Similar Questions

Explore conceptually related problems

Angle made with the x-axis by a straight line drawn through (1,2) so that it intersects x+y=4 at a distance (sqrt(6))/(3) from (1,2) is 105^(@) (b) 75^(0) (c) 60^(@) (d) 15^(0)

Angles made with the x axis by two lines drawn through the point (1,2) and cutting the line x+y=4 at a distance sqrt((2)/(3)) from the point (1,2) are

Angle made by the line passsing through (1,0) and (-2,sqrt3) with x-axis is

Find the direction in which a straight line must be drawn through the point (1,2) so that its point of intersection with the line x+y=4 may be at a distance 1/3 sqrt(6) from this point

The equation of the straight line through the point of intersection of lines x-3y+1=0 and 2x+5y-9=0 and whose distance from the origin is 5

Find the equation to the straight line drawn through the point of intersection of x+2y+3=0 and 3x+4y+7=0 and perpendicular to y-x=8 .

TARGET PUBLICATION-STRAIGHT LINE -CRITICAL THINKING
  1. The equation of lines on which the perpendiculars from the origin make...

    Text Solution

    |

  2. A line through A(-5,-4) meets the lines x+3y+2=0,2x+y+4=0a n dx-y-5=0 ...

    Text Solution

    |

  3. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

    Text Solution

    |

  4. distance of the lines 2x-3y-4=0 from the point (1, 1) measured paralel...

    Text Solution

    |

  5. Consider the equation y - y(1) = m(x - x(1)). If m and different lines...

    Text Solution

    |

  6. If the lines 2x+3ay-1=0 and 3x+4y+1=0 are matually perpendicular, then...

    Text Solution

    |

  7. The equation to the straight line passing through the point (a "cos"^(...

    Text Solution

    |

  8. The equation of the line parallel to the line 2x- 3y =1 and passing th...

    Text Solution

    |

  9. A line AB makes zero intercepts on X-axis and Y-axis and it is perpend...

    Text Solution

    |

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

    Text Solution

    |

  11. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

    Text Solution

    |

  12. The angle between the lines xcos alpha1+ysin alpha1=p1 and xcos alpha...

    Text Solution

    |

  13. If the co-ordinates of the vertices A,B,C of the triangle ABC are (-4,...

    Text Solution

    |

  14. If the lines y=(2+sqrt3) x+4 and y= kx+6 are inclined at an angle 60^(...

    Text Solution

    |

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

    Text Solution

    |

  16. Two equal sides of an isosceles triangle are given by 7x-y+3=0 and x+y...

    Text Solution

    |

  17. If vertices of a parallelogram are respectively (0,0), (1,0) ,(2,2) an...

    Text Solution

    |

  18. The point of intersection of the lines x/ay/b =1 and x/b +y/a =1 lines...

    Text Solution

    |

  19. Show that the straight lines given by (2+k)x+(1+k)y=5+7k for different...

    Text Solution

    |

  20. The opposite angular points of a square are (3,4) a) and (1,-1). Then ...

    Text Solution

    |