Home
Class 11
MATHS
Equation to the straight line cutting of...

Equation to the straight line cutting off an intercept 2 from negative direction of the axis of y and inclined at `30^@` to the positive direction of axis of x is :

A

`y + x - sqrt 3 = 0`

B

`y - x + 2 = 0`

C

`y - x sqrt 3 - 2 = 0`

D

`y sqrt 3 - x + 2 sqrt 3 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a straight line cutting off and intercept -1 from y-axis and being equally inclined to the axes.

Find the equation of the staight line passing through the point of intersection of the straight lines 2x+3y+4=0 and 3x+y-1=0 and inclined to the positive direction of the x - axis at an angle 135^(@) .

Find the slope of the lines : Making inclination of 60^(@) with the positive direction of x- axis.

The direction cosines of y-axis are-

The direction cosines of x-axis are-

Write down a unit vector in XY-plane, making an angle of 30^(@) with the positive direction of x-axis.

The magnitude of the angle which the line y=-x makes with the positive direction of the x axis is -

The equation of the straight line whose slope is 1 and intercept on x- axis is (-3) , is-

a straight line makes an angle 45^@ with positive direction of x-axis and 60^@ with positive direction of z-axis. If the line makes and angle theta with positive direction of y-axis then theta is equal to-

Find the direction cosines of a straight line which is situate on yz-plane and inclined at an angle 60^@ with poistive direction of z-axis.

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. If each of the points (x1, 4), (-2,y1) lies on the line joining the po...

    Text Solution

    |

  2. The angle between the lines 2x - y + 3 = 0 and x + 2y + 3 =0

    Text Solution

    |

  3. Equation to the straight line cutting off an intercept 2 from negative...

    Text Solution

    |

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

    Text Solution

    |

  5. If the quadrilateral formed by the lines ax + by + c = 0, a'x + b'y + ...

    Text Solution

    |

  6. The co-ordinates of a point on the line y = x where perpendicular dist...

    Text Solution

    |

  7. If the points (1,2) and (3, 4) are on the opposite side of the line 3x...

    Text Solution

    |

  8. If k x^2 + 10 xy + 3 y^2 - 15x - 21y + 18 = 0 represents a pair of str...

    Text Solution

    |

  9. The point of intersection of the straight lines given by the equation ...

    Text Solution

    |

  10. If the equation 12x^2 + 7xy - py^2 - 18x qy + 6 = 0 represent two perp...

    Text Solution

    |

  11. If the angle between the two lines represented by 2x^2 + 5xy + 3y^2 + ...

    Text Solution

    |

  12. The equation of second degree x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y ...

    Text Solution

    |

  13. The point (4,1) undergoes the following transformation successively (i...

    Text Solution

    |

  14. Mixed term xy is to be removed from the general equation of second deg...

    Text Solution

    |

  15. For points P=(x1,y1)and Q =(x2,y2) of the co-ordinate plane a new dist...

    Text Solution

    |

  16. The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6and 4...

    Text Solution

    |

  17. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  18. The distance between the circumcentre and orthocentre of the triangle ...

    Text Solution

    |

  19. If P(1+alpha/sqrt2 ,2+ alpha/sqrt2) be any point on a line, then the r...

    Text Solution

    |

  20. If the point (a,a) fall between the lines |x+y|=2,then

    Text Solution

    |