Home
Class 12
MATHS
A straight line L through the point (3,-...

A straight line L through the point (3,-2) is inclined at an angle `60^@` to the line `sqrt(3)x+y=1` If L also intersects the x-axis then the equation of L is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Recap of Facts and Formulae

    A DAS GUPTA|Exercise Exercise|9 Videos
  • Screening Tests

    A DAS GUPTA|Exercise Exercise|38 Videos

Similar Questions

Explore conceptually related problems

A straight line L through the point (3,-2) is inclined at an angle 60^(@) the line sqrt(3)x+y=1 If L also intersects the x -axis then the equation of L is

A straight line L passes through (3,-2) also inclined at an angle 60^@ to the line sqrt(3x)+y=1.If L also intersects the x-axis, then the equation of L is: (A) y+sqrt(3x)+2-3sqrt3=0 (B) y-sqrt(3x)+2+3sqrt3=0 (C) sqrt(3y)-x+3+2sqrt3=0 (D) sqrt(3y)+x-3+2sqrt3=0

straight line passing through origin and inclined at 60^(@) the line sqrt(3)x+y=1 is

Show that the equations of the straight lines passing through the point (3,-2) and inclined at 60^(@) to the line sqrt(3)x+y=1 arey +2=0 and y-sqrt(3)x+2+3sqrt(3)=0

A straight line through the point (2, 2) intersects the lines sqrt(3)x+y=0 and sqrt(3)x-y=0 at the points A and B. The equation of the line AB so that DeltaOAB is equilateral, is:

Find the equations t the straight lines passing through the point (2,3) and inclined at an angle of 45^0 to the line \ 3x+y-5=0.

The equation of two straight lines through (7,9) and making an angle of 60^(@) with the line x-sqrt(3)y-2sqrt(3)=0 is

Find the equation the straight line passing through (-2,3) and inclined at an angle of 45^(@) with the x -axis.

A DAS GUPTA-Recent IIT questions-Exercise
  1. Let (x0,y0) be the solution of the following equations (2x)^(In2)=(3...

    Text Solution

    |

  2. Q. Let P={theta:sin theta-cos theta=sqrt2 cos theta} and Q={theta:sin ...

    Text Solution

    |

  3. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  4. Let alpha and beta be the roots of equation x^2-6x -2=0. If a...

    Text Solution

    |

  5. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  6. Let the straight line x=b divide the area enclosed by y=(1-x)^2, y=0 a...

    Text Solution

    |

  7. The vector(s) which is/are coplanar with vectors hat(i)+hat(j)+2hat(k)...

    Text Solution

    |

  8. Let the eccentricity of the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 b...

    Text Solution

    |

  9. Let Ma n dN be two 3xx3 non singular skew-symmetric matrices such that...

    Text Solution

    |

  10. Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in...

    Text Solution

    |

  11. Let U1 , and U2, be two urns such that U1, contains 3 white and 2 red ...

    Text Solution

    |

  12. Given that the drawn ball from U2 is white, the probability that head ...

    Text Solution

    |

  13. If the point P(a, b, c), with reference to (E), lies on the plane 2x +...

    Text Solution

    |

  14. Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0. If a=2 w...

    Text Solution

    |

  15. Consider the parabola y^(2) = 8x. Let Delta(1) be the area of the tria...

    Text Solution

    |

  16. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))),w h e r e-pi...

    Text Solution

    |

  17. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  18. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

    Text Solution

    |

  19. The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a...

    Text Solution

    |

  20. If z is any complex number satisfying |z-3-2i|le 2 , then the maximum...

    Text Solution

    |