Home
Class 12
MATHS
The minimum distance between any two poi...

The minimum distance between any two points `P_(1)` and `P_(2)` while considering point `P_(1)` on one circle and point `P_(2)` on the other circle for the given circles equations
`x^(2) + y^(2) - 10x - 10 y + 41 =0`
`x^(2) + y^(2)- 24x - 10y + 160 = 0` is `"__________"` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION A|40 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION B|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|60 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

The least distance between two points P and Q on the circle x^(2) + y^(2) -8x + 10y + 37 =0 and x^(2) + y^(2) + 16x + 55 = 0 is _______ .

Find the equation of the circle the end points of whose diameter are the centres of the circle : x^2 + y^2 + 6x - 14y=1 and x^2 + y^2 - 4x + 10y=2 .

The point of contact of the given circles x^(2)+y^(2)-6x-6y+10=0 and x^(2)+y^(2)=2 is

Find the equation of the circle the end points of whose diameters are the centres of the circles x^(2)+y^(2)+16x-14y=1 and x^(2)+y^(2)-4x+10y=2

Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mid-point is (1,0) , is

Examine whether that equations reprsent a circle, point or no circle : x^2 + y^2 - 3x + 3y + 10=0

The least distance between two points P and Q ,where P lies on the circle x^(2)+y^(2)-8x-10y+37=0 and Q lies on the circle , x^(2)+y^(2)+16x+55=0 is equal to

Find the coordinates of the limiting points of the system of circles determined by the two cricles x^(2)+y^(2)+5x+y+4=0andx^(2)+y^(2)+10x-4y-1=0

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION B)
  1. If [.] represents the greatest integer function, then the value of |in...

    Text Solution

    |

  2. The maximum value of z in the following equation z = 6xy + y^(2) , whe...

    Text Solution

    |

  3. The minimum distance between any two points P(1) and P(2) while consid...

    Text Solution

    |

  4. If A = [{:(2,3),(0,-1):}], then the value of det (A^(4)) | det ( A^(10...

    Text Solution

    |

  5. If the function f(x) = ( cos ( sin x ) - cos x )/( x^(4)) is continuo...

    Text Solution

    |

  6. If f(x) = sin ( cos ^(-1) ( ( 1- 2 ^(2x))/( 1+ 2^(2x)))) and its fist...

    Text Solution

    |

  7. If the eqution of the plane passing through the line of intersection o...

    Text Solution

    |

  8. If ( 2021)^(3762) is divided by 17, then the remainder is "".

    Text Solution

    |

  9. If vec(a) = alpha hat(i) + beta hat(j)+ 3 hat(k), vec(b) = - beta ha...

    Text Solution

    |

  10. Of the three independent event E(1),E(2) and E(3), the probability tha...

    Text Solution

    |

  11. Let P be a plane containing the line (x-1)/3=(y+6)/4=(z+5)/2 and paral...

    Text Solution

    |

  12. If underset(r=1)overset(10)sum r! (r^(3)+6r^(2)+2r+5)=alpha (11!), the...

    Text Solution

    |

  13. Let the miror image of the point (1,3,a) with respect to the plane vec...

    Text Solution

    |

  14. Let y=y(x) be the solution of the differential equation xdy-ydx =sqrt(...

    Text Solution

    |

  15. Let P(x) be a real polynomial of degree 3 which vanishes at x=-3. Let ...

    Text Solution

    |

  16. Let I be an identity matrix of order 2 xx 2 and P=[{:(,2,-1),(,5,-3):}...

    Text Solution

    |

  17. The term independent of x in the expansion of [(x+1)/(x^(2/3)-x^(1/3)+...

    Text Solution

    |

  18. If f(x) and g(x) are two polynomials such that the polynomial P(x)=f(x...

    Text Solution

    |

  19. Let f: R to R satisfy the equation f(x+y)=f(x), f(y) for all x,y in R ...

    Text Solution

    |

  20. Let ""^(n)C(r) denote the binomial coefficient of x^(r) in the expansi...

    Text Solution

    |