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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 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 (a) 105^0 (b) 75^0 (c) 60^0 (d) 15^0

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

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 .

Find the equations of the lines through the point of intersection of the lines x-y+1=0a n d2x-3y+5=0 whose distance from the point (3,2) is 7/5.

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

Find the equations of the lines through the point of intersection of the lines x -y+1=0 and 2x-3y+5= 0 whose distance from the point (3, 2) is 7/5

Find the equation of the line passing through (2,2sqrt(3)) and inclined with x-axis at an angle of 75^0 .

Equation of straight line a x+b y+c=0 , where 3a+4b+c=0 , which is at maximum distance from (1,-2), is (a) 3x+y-17=0 (b) 4x+3y-24=0 (c) 3x+4y-25=0 (d) x+3y-15=0

Find the equation of a straight line through the intersection of 2x -3y + 4 =0 and 3x+ 4y- 5 =0 and parallel to Y -axis

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . ...

    Text Solution

    |

  2. Let a x+b y+c=0 be a variable straight line, whre a , ba n dc are the ...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that all the lines having the sum of the interceps on the axes e...

    Text Solution

    |

  5. Given three straight lines 2x+11 y-5=0,24 x+7y-20=0, and 4x-3y-2=0 . T...

    Text Solution

    |

  6. Find the straight line passing through the point of intersection of ...

    Text Solution

    |

  7. The lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 are the sides of a square. ...

    Text Solution

    |

  8. Consider a family of straight lines (x+y)+lambda(2x-y+1)=0 . Find the ...

    Text Solution

    |

  9. Determine all the values of alpha for which the point (alpha,alpha^2) ...

    Text Solution

    |

  10. If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+...

    Text Solution

    |

  11. If the y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45...

    Text Solution

    |

  12. If x/l+y/m=1 is any line passing through the intersection point of the...

    Text Solution

    |

  13. Two sides of a rhombus OABC ( lying entirely in first quadrant or four...

    Text Solution

    |

  14. The equation of straight line belonging to both the families of lines ...

    Text Solution

    |

  15. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  16. If the algebraic sum of the distances of a variable line from the po...

    Text Solution

    |

  17. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),((b^2-...

    Text Solution

    |

  18. If a , b ,c are in harmonic progression, then the straight line ((x/a...

    Text Solution

    |

  19. A variable line cuts n given concurrent straight lines at A1,A2...An s...

    Text Solution

    |

  20. Prove that the area of the parallelogram formed by the lines 3x-4y+a=0...

    Text Solution

    |