Home
Class 11
MATHS
If the circle x^(2)+y^(2)=1 is completel...

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 k.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Show that the circle x^(2)+y^(2)-2y-15=0 lies completely within the circle x^(2)+y^(2)-x-30=0

If the circle x^2+y^2+2a_1x+c=0 lies completely inside the circle x^2+y^2+2a_2x+c=0 then

If the circel x ^(2) +y^(2) +6x -2y +k=0 bisects the circumference of the circel x ^(2) +y^(2) +2x -6y-15=0, then the value of k is-

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

The length of diameter of the circle x^(2) + y^(2) + 4x - 7y - k = 0 is 9, find k.

If the two circles 2x^(2) +2y^(2) -3x+6y+k=0 and x^(2) +y^(2) -4x +10y +16=0 cut orthogonally, then the vlaue of k is-

If the radius of the circle touching the pair of lines 7x^(2) - 18 xy +7y^(2) = 0 and the circle x^(2) +y^(2) - 8x - 8y = 0 , and contained in the given circle is equal to k, then k^(2) is equal to

If the equation of the tangent to the circle x^(2) + y^(2) - 2x + 6y - 6 =0 parallel to the line 3x - 4y +7 =0 is 3x - 4y +k=0 , then the value of k is-

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

Find the area of the equilateral triangle inscribed in the circle x^(2) + y^(2) - 4x + 6y - 3 = 0 .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  2. Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and...

    Text Solution

    |

  3. If the circle x^(2)+y^(2)=1 is completely contained in the circle x^(2...

    Text Solution

    |

  4. Prove that the pair of straight lines joining the origin to the points...

    Text Solution

    |

  5. The circles x^2+y^2-12 x-12 y=0 and x^2+y^2+6x+6y=0. a.touch each oth...

    Text Solution

    |

  6. If theta is the angle between the two radii (one to each circle) drawn...

    Text Solution

    |

  7. If the two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 cut the co-...

    Text Solution

    |

  8. A line is drawn through a fixed point P(alpha,beta)to cut the circle x...

    Text Solution

    |

  9. Circles are drawn through the point (2, 0) to cut intercept of length ...

    Text Solution

    |

  10. Find the equation of the circle which passes through the origin and cu...

    Text Solution

    |

  11. Find the point of intersection of the circle x^2+y^2-3x-4y+2=0 with th...

    Text Solution

    |

  12. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

    Text Solution

    |

  13. If one end of the diameter is (1, 1) and the other end lies on the lin...

    Text Solution

    |

  14. Tangent drawn from the point P(4,0) to the circle x^2+y^2=8 touches it...

    Text Solution

    |

  15. If the join of (x1,y1) and (x2,y2) makes on obtuse angle at (x3,y3), t...

    Text Solution

    |

  16. Find the range of values of m for which the line y=m x+2 cuts the circ...

    Text Solution

    |

  17. Centre of the circle whose radius is 3 and which touches internally th...

    Text Solution

    |

  18. The number of common tangents that can be drawn to the circles x^2+y^2...

    Text Solution

    |

  19. Find the radical center of the circles x^2+y^2+4x+6y=19 ,x^2+y^2=9,x^2...

    Text Solution

    |

  20. Two circles C1 and C2 intersect in such a way that their common chord ...

    Text Solution

    |