Home
Class 12
MATHS
If the perpendicular distance of the lin...

If the perpendicular distance of the line `lx+my =1` from the point (0, 0) is a, then the diameter of the circle touching the given line and with centre (0, 0) is

A

2a units

B

a units

C

`(a)/(2)` units

D

3a units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-B|121 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Try ypurself|42 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the perpendicular distance of the point (1,0,0) from the lines (x-1)/2=(y+1)/(-3)=(z+10)/8

What is the locus of centres of circles which touch a given line at a given point ?

Find the locus of the centres of circles which touch a given line at a given point.

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

If the line x+3y=0 is the tangent at (0,0) to the circle of radius 1, then the centre of one sum circle is

Find the equation of circle touching the line 2x + 3y + 1=0 at the point ( 1,-1) and is orthogonal to the circle which has the line segment having end poitns (0,-1) and (-2,3) as the diameter.

The line 2x-y+1=0 touches a circle at the point (2, 5) and the centre of the circle lies on x-2y=4 . The diameter (in units) of the circle is

Locus of the centre of the circle touching the line 3x + 4y + 1=0 and having radius equal to 5 units is

AAKASH INSTITUTE-CONIC SECTIONS-Assignment (SECTION - A)
  1. The centre and radius of the circle (x+ 2)^(2) + (y+4)^(2) = 9 are

    Text Solution

    |

  2. The radius of the circle x^(2) + y^(2) + 4x - 6y + 12 = 0 is

    Text Solution

    |

  3. If the perpendicular distance of the line lx+my =1 from the point (0, ...

    Text Solution

    |

  4. The equation of a circle of radius 4 units, touching the x-axis at (5,...

    Text Solution

    |

  5. The equation of the circle in the third quadrant touching each co-ordi...

    Text Solution

    |

  6. The equation of the circle with radius 3 units, passing through the po...

    Text Solution

    |

  7. The equation of the circle with radius sqrt(5) units whose centre lie...

    Text Solution

    |

  8. The equation of the circle passing through (0, 0) and making intercept...

    Text Solution

    |

  9. If 'P' is any point on the circumference of the circle x^(2) + y^(2) -...

    Text Solution

    |

  10. The equation of the circle having centre (0, 0) and passing through th...

    Text Solution

    |

  11. The equation of the circle which passes through the point (3, 4) and h...

    Text Solution

    |

  12. If the lines 3x + y = 11 and x - y = 1 are the diameters of a circle ...

    Text Solution

    |

  13. The point (2, 4) lies inside the circle x^(2) + y^(2) = 16. The above ...

    Text Solution

    |

  14. The equation of the parabola with focus (3, 0) and directrix y = -3 is

    Text Solution

    |

  15. The equation of the parabola with vertex at (0, 0) and focus at (0, 4)...

    Text Solution

    |

  16. The equation of the directrix of the parabola x^(2) = 8y is

    Text Solution

    |

  17. The co-ordinate of the focus of the parabola y^(2) = 24x is

    Text Solution

    |

  18. If x^(2) = 20y represents a parabola, then the distance of the focus f...

    Text Solution

    |

  19. The length of the latus rectum of the parabola x^(2) = -28y is

    Text Solution

    |

  20. If the parabola y^(2) = 4ax passes through the point (4, 1), then the...

    Text Solution

    |