Home
Class 12
MATHS
If the line lx + my = 1 be a tangent to ...

If the line `lx + my = 1` be a tangent to the circle `x^(2)+y^(2)=a^(2)`, then the point `(l, m)` lies on

A

ellipse

B

parabola

C

circle

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE)|2 Videos
  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS)|6 Videos
  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS) |10 Videos
  • TANGENTS AND NORMALS

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)|19 Videos
  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

If the line lx+my+n=0 is tangent to the circle x^(2)+y^(2)=a^(2) , then find the condition.

If 1x+my-1=0 touches the circle x^(2)+y^(2)=a^(2) then the point (1,m) lies on the circle

If the line lx+my+n=0 is tangent to the circle x^2+y^2-2ax=0 then find the condition

The equation of the line parallel to the tangent to the circle x^(2)+y^(2)=r^(2) at the point (x_(1),y_(1)) and passing through origin is

If the line lx+my-1=0 touches the circle x^(2)+y^(2)=a^(2), then prove that (l,m) lies on a circle.

If lx+my=1 touches the circle x^(2)+y^(2)=a^(2) , prove that the point (l,m) lies on the circle x^(2)+y^(2)=a^(-2)

If the line lx+my+n=0 touches the circle x^(2)+y^(2)=a^(2), then prove that (l^(2)+m^(2))^(2)=n^(2)

The line lx+my+n=0 is a tangent to the curve y=x-x^2+x^3 , then

If lx + my + n = 0 is tangent to the parabola x^(2)=y , them

If a line, y = mx + c is a tangent to the circle, (x-1)^2 + y^2 =1 and it is perpendicular to a line L_1 , where L_1 is the tangent to the circle x^2 + y^2 = 8 at the point (2, 2), then :

ML KHANNA-THE CIRCLE -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. If the line lx + my = 1 be a tangent to the circle x^(2)+y^(2)=a^(2), ...

    Text Solution

    |

  2. The equation of tangents drawn from the origin to the circle x^(2)+y^(...

    Text Solution

    |

  3. Find the angle between the two tangents from the origin to the circle ...

    Text Solution

    |

  4. The condition so that the line (x+g) cos theta +(y+f)sin theta =k ...

    Text Solution

    |

  5. The angle between a pair of tangents drawn from a point T to the circl...

    Text Solution

    |

  6. From any point on the circle x^(2)+y^(2)=a^(2) tangents are drawn to t...

    Text Solution

    |

  7. If from any point P on the circle x^2+y^2+2gx+2fy+c=0, tangents are dr...

    Text Solution

    |

  8. The angle at which the circle x^(2)+y^(2)=16 can be seen from the poin...

    Text Solution

    |

  9. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  10. The length of the chord of the circle x^(2)+y^(2)=25 joining the poin...

    Text Solution

    |

  11. If the two circles x^(2)+y^(2)+2gx+2fy=0 and x^(2)+y^(2)+2g(1)x+2f(1)...

    Text Solution

    |

  12. Aline meets the co-ordinate axes in A and B.A circle is circumscribed ...

    Text Solution

    |

  13. The tangent to the circle x^(2)+y^(2)=5 at the point (1, -2) also touc...

    Text Solution

    |

  14. P and Q are two symmetrical points about the tangent at origin to the...

    Text Solution

    |

  15. Equation of tangent to the circle x^(2)+y^(2)=50 at the point where th...

    Text Solution

    |

  16. If x+y=2 is a tangent to x^(2)+y^(2)=2, then the equation of the tang...

    Text Solution

    |

  17. To which of the following circles, the line y- x+3=0 is normal at the...

    Text Solution

    |

  18. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

    Text Solution

    |

  19. Find the equations of the tangents to the circle x^2 + y^2 = 169 at (5...

    Text Solution

    |

  20. Equation of a tangent to the circle x^(2)+y^(2)=25 passing through (-...

    Text Solution

    |