Home
Class 11
MATHS
Statement 1 : Circles x^2+y^2=9 and (x-s...

Statement 1 : Circles `x^2+y^2=9` and `(x-sqrt(5))(sqrt(2)x-3)+y(sqrt(2)y-2)=0` touch each other internally. Statement 2 : The circle described on the focal distance as diameter of the ellipse `4x^2+9y^2=36` touches the auxiliary circle `x^2+y^2=9` internally.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Examine whether the two circles x^2+y^2-2x-4y=0 and x^2+y^2-8y-4=0 touch each other externally or internally .

Circles x^(2) + y^(2) - 2x = 0 and x^(2) + y^(2) + 6x - 6y + 2 = 0 touch each other extermally. Then point of contact is

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

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

the equation of the line parallel to the line 3x +4y=0 and touching the circle x^2+ y^2= 9 in the first quadrant is:

For what value of k will the line 4x + 3y + k = 0 touch the circle 2x^(2) + 2y^(2) = 5x

If 4x+3y+k=0 touch the circle 2x^(2)+2y^(2)=5x then k=

The point of contact 8x-9y+5 = 0 with the ellipse 4x^(2)+9y^(2)=1 is

The point at which the circles x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)-12x-10y+45=0 touch each other is

Prove that the circle x^(2)+y^(2)+2x+2y+1=0 and circle x^(2)+y^(2)-4x-6y-3=0 touch each other.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Statement 1 : There can be maximum two points on the line p x+q y+r...

    Text Solution

    |

  2. Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

    Text Solution

    |

  3. Statement 1 : Circles x^2+y^2=9 and (x-sqrt(5))(sqrt(2)x-3)+y(sqrt(2)y...

    Text Solution

    |

  4. If AOB and COD are two straight lines which bisect one another at righ...

    Text Solution

    |

  5. The area (in sq. units) of the quadrilateral formed by the tangents ...

    Text Solution

    |

  6. Find the equation of hyperbola : Whose foci are (4, 2) and (8, 2) and ...

    Text Solution

    |

  7. If tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the...

    Text Solution

    |

  8. Two straight lines pass through the fixed points (+-a, 0) and have slo...

    Text Solution

    |

  9. Each question has four choices: a, b, c and d, out of which only one i...

    Text Solution

    |

  10. Find the lengths of the transvers and the conjugate axis, eccentricity...

    Text Solution

    |

  11. Statement 1 : In a triangle A B C , if base B C is fixed and the perim...

    Text Solution

    |

  12. In an ellipse, the sum of the distances between foci is always less ...

    Text Solution

    |

  13. Find the equation of hyperbola : whose axes are coordinate axes and th...

    Text Solution

    |

  14. Statement 1 : The equations of the tangents drawn at the ends of th...

    Text Solution

    |

  15. Find the equation of hyperbola if centre is (1, 0), one focus is (6, 0...

    Text Solution

    |

  16. Let E1a n dE2, respectively, be two ellipses (x^2)/(a^2)+y^2=1,a n dx^...

    Text Solution

    |

  17. Find the equation of hyperbola : Whose center is (3, 2), one focus is ...

    Text Solution

    |

  18. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

    Text Solution

    |

  19. An ellipse and a hyperbola have their principal axes along the coor...

    Text Solution

    |

  20. Two concentric ellipses are such that the foci of one are on the other...

    Text Solution

    |