Home
Class 11
MATHS
If the line y=sqrt(3)x+k touches the ci...

If the line `y=sqrt(3)x+k` touches the circle `x^2+y^2=16 ,` then find the value of `kdot`

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|216 Videos
  • THE STRAIGHT LINES

    RD SHARMA ENGLISH|Exercise All Questions|493 Videos

Similar Questions

Explore conceptually related problems

If y-2x-k=0 touches the conic 3x^2-5y^2=15 , find the value of k.

If the length tangent drawn from the point (5, 3) to the circle x^2+y^2+2x+k y+17=0 is 7, then find the value of kdot

Show that the line 3x+4y +20=0 touches the circle x^(2) + y^(2) =16 and find the point of contact

If the line y=x+sqrt(3) touches the ellipse (x^(2))/(4)+(y^(2))/(1)=1 then the point of contact is

If the line y=3x+lambda touches the hyperbola 9x^(2)-5y^(2)=45 , then the value of lambda is

Show that the line y= x + sqrt(5/6 touches the ellipse 2x^2 + 3y^2 = 1 . Find the coordinates of the point of contact.

If the line x+y=a touches the parabola y=x-x^2, then find the value of adot

Prove that the straight line y = x + a sqrt(2) touches the circle x^(2) + y^(2) - a^(2)=0 Find the point of contact.

If the circle x^2+y^2=1 is completely contained in the circle x^2+y^2+4x+3y+k=0 , then find the values of kdot

If the circle 2x^(2) + 2y^(2) = 5x touches the line 3x + 4y = k , then the values of k are

RD SHARMA ENGLISH-THE CIRCLE-All Questions
  1. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  2. Find the equation of the circle which touches the lines 4x-3y+10=0a...

    Text Solution

    |

  3. If the line y=sqrt(3)x+k touches the circle x^2+y^2=16 , then find t...

    Text Solution

    |

  4. Find the equation of the circle having (1,-2) as its centre and passi...

    Text Solution

    |

  5. Find the locus of the centre of the circle touching the line x+2y=0...

    Text Solution

    |

  6. Let C be any circle with centre (0,sqrt(2))dot Prove that at most two ...

    Text Solution

    |

  7. Find the equation of the circle which touches x-axis and whose centre ...

    Text Solution

    |

  8. Find the equation of the circle which passes through the origin and ...

    Text Solution

    |

  9. Find the equation of the circle whose centre is at (3,-1) and which...

    Text Solution

    |

  10. A rectangle A B C D is inscribed in a circle with a diameter lying ...

    Text Solution

    |

  11. Find the equation of a circle with origin as centre and which circum...

    Text Solution

    |

  12. Find the equation of a circle whose diameters are 2x-3y+12a n dx+4y-5=...

    Text Solution

    |

  13. Find the equation of a circle of radius 5 whose centre lies on x-axis ...

    Text Solution

    |

  14. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

    Text Solution

    |

  15. Find the equation of the circle is (2,-3) and radius is 8.

    Text Solution

    |

  16. Find the equation of the circle which passes through the point of i...

    Text Solution

    |

  17. Find the equation of the circle having centre at (3,-4) and touching t...

    Text Solution

    |

  18. Find the center and radius of the circle given by the equation 2x^2+...

    Text Solution

    |

  19. If the line 2x-y+1=0 touches the circle at the point (2,5) and the cen...

    Text Solution

    |

  20. Find the equation of the circle passing through (1,2) and which is co...

    Text Solution

    |