Home
Class 12
MATHS
The line x sin alpha- ycos alpha = a to...

The line `x sin alpha- ycos alpha = a` touches the circle `x^(2) +y^(2) =a^(2) ` ,then

A

` alpha in [0, pi]`

B

` alpha in [-pi,pi ]`

C

` alpha ` can have any value

D

`alpha in [-(pi)/(2) ,(pi)/(2) ]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise SYSTEM OF CIRCLES|22 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos

  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos

  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

The line x cos alpha+y sin alpha=p touches the circle x^(2)+y^(2)-2ax cos alpha-2ay sin alpha=0. then p=

If the straight line represented by x cos alpha + y sin alpha = p intersect the circle x^2+y^2=a^2 at the points A and B , then show that the equation of the circle with AB as diameter is (x^2+y^2-a^2)-2p(xcos alpha+y sin alpha-p)=0

If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=1 then a^(2) Cos^(2)alpha-b^(2) Sin^(2)alpha=

The condition that the line x cos alpha + y sin alpha =p to be a tangent to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) =1 is

The circle on the chord xcos alpha + ysin alpha =p of the circle x^2+y^2=r^2 as diameter is

Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(2) -6x + 4y + 12 = 0

AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. The line x sin alpha- ycos alpha = a touches the circle x^(2) +y^(2) ...

    Text Solution

    |

  2. If the lines (x+1)/(2) =(y-1)/( 1) =(z+1)/(3) and (x+2)/(2) =( y-k)/...

    Text Solution

    |

  3. Let Q be the foot the perpendicular from the origin to the plane 4x-3y...

    Text Solution

    |

  4. The angle between the lines whose direction cosines satisfy the equati...

    Text Solution

    |

  5. If the lines L1 and L2 in space are defined by L1 = {x=sqrt lambda y+...

    Text Solution

    |

  6. If the projection of a line segment on the x, y and z -axes in 3 dim...

    Text Solution

    |

  7. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

    Text Solution

    |

  8. The equation of a plane through the line of intersection of the planes...

    Text Solution

    |

  9. Equation of a plane which passes through the point of intersection of ...

    Text Solution

    |

  10. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

    Text Solution

    |

  11. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

    Text Solution

    |

  12. The plane containing the line (x-1)/(1) =(y-2)/( 2) =(z-3)/(3) and ...

    Text Solution

    |

  13. A symmetrical form of the line of intersection of the planes x= ay +b...

    Text Solution

    |

  14. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

    Text Solution

    |

  15. Equation of the line of shortest distance between the lines (x)/(1) =...

    Text Solution

    |

  16. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

    Text Solution

    |

  17. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

    Text Solution

    |

  18. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

    Text Solution

    |

  19. The angle between the lines 2x =3y =-z and -6x =y =-4z is

    Text Solution

    |

  20. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

    Text Solution

    |

  21. A variable plane passes through a fixed point (1,-2,3) and meets the ...

    Text Solution

    |