Home
Class 11
MATHS
Equation of the smaller circle that touc...

Equation of the smaller circle that touches the circle `x^2+y^2=1` and passes through the point (4,3) is

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

The equation of the circle, which touches the parabola y^2=4x at (1,2) and passes through the origin is :

Find the equation of the circle concentric with the circle x^2 +y^2 - 4x - 6y-9=0 and passing through the point (-4, -5)

The locus of the point of intersection of the tangents at the extermities of a chord of the circle x^2+y^2=b^2 which touches the circle x^2+y^2-2by=0 passes through the point

The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is (1) (10)/3 (2) 3/5 (3) 6/5 (4) 5/3

The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3)

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^2+y^2-2x-4y+1=0a n dx^2+y^2-4x-2y+4=0 is

If a circle is concentric with the circle x^(2)+y^(2)-4x-6y+9=0 and passes through the point (-4,-5) then its equation is

Equation of the diameter of the circle x^(2) +y^(2) - 2x + 4y = 0 which passes through the origin is

The line x = y touches a circle at the point (1, 1). If the circle also passes through the point (1, -3). Then its radius is 0

Find the equation of the circle concentric with the circle x^(2) + y^(2) - 8x + 6y -5 = 0 and passing through the point (-2, -7).

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  2. Find the equations to the common tangents of the circles x^2+y^2-2x-6y...

    Text Solution

    |

  3. Equation of the smaller circle that touches the circle x^2+y^2=1 and p...

    Text Solution

    |

  4. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

    Text Solution

    |

  5. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

    Text Solution

    |

  6. The equation of three circles are given x^2+y^2=1,x^2+y^2-8x+15=0,x^2+...

    Text Solution

    |

  7. If the circles x^2+y^2+2a^(prime)x+2b^(prime)y+c^(prime)=0 and 2x^2+2...

    Text Solution

    |

  8. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  9. Prove that the equation of any tangent to the circle x^2+y^2-2x+4y-4=0...

    Text Solution

    |

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

    Text Solution

    |

  11. If S(1)=alpha^(2)+beta^(2)-a^(2), then angle between the tangents from...

    Text Solution

    |

  12. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

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

    Text Solution

    |

  14. Two circles C1 and C2 intersect at two distinct points PandQ in a line...

    Text Solution

    |

  15. Find the equation of the tangent at the endpoints of the diameter of ...

    Text Solution

    |

  16. Find the equations of the tangents to the circle x^2+y^2-6x+4y=12 whic...

    Text Solution

    |

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

    Text Solution

    |

  18. The lengths of the tangents from P(1,-1) and Q(3,3) to a circle are sq...

    Text Solution

    |

  19. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  20. If the circles x^2+y^2+2a x+c y+a=0 and x^2+y^2-3a x+d y-1=0 intersec...

    Text Solution

    |