Home
Class 12
MATHS
Choose the incorrect statement about the...

Choose the incorrect statement about the two circles whose equations are given below `:`
`x^(2) + y^(2) - 10x - 10 y + 41 = 0` and
`x^(2) + y^(2) - 16x - 10 y + 80 = 0`

A

Distance between two centres is the average of radii of both the circles

B

Circles have two intersection points.

C

Both circles' centres lie inside regio of one another.

D

Both circles pass through the centre of each other.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|30 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION A|40 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - B)|10 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

Choose the correct statement about two circles whose equations are given below : x^2+y^2-10x-10y+41=0 x^2+y^2-22x-22y+137=0

Two circles x^(2) + y^(2) - 4x + 10y + 20 = 0 and x^(2) + y^(2) + 8x - 6y - 24= 0

Equation of radical axis of the circles x^(2) + y^(2) - 3x - 4y + 5 = 0 and 2x^(2) + 2y^(2) - 10x - 12y + 12 = 0 is

If the two circle x^(2) + y^(2) - 10 x - 14y + k = 0 and x^(2) + y^(2) - 4x - 6y + 4 = 0 are orthogonal , find k.

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

Equation of a common chord of the circles x ^(2) + y ^(2) + 6x -10 y + 9=0 and x ^(2) + y ^(2) - 10 x + 6y + 25=0 is

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 "__________" .

Find the coordinates of the centre and the radius of the circles whose equations are 4x^(2)+4y^(2)-16x-12y+21=0

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 _______ .

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
  1. If the Boolean expression ( p rArr q ) hArr ( ~q ** p ) is a tautology...

    Text Solution

    |

  2. Which of the following is true for y(x) that satisfies the differentia...

    Text Solution

    |

  3. Choose the incorrect statement about the two circles whose equations a...

    Text Solution

    |

  4. If A = ({:(0, sin alpha),(sinalpha,0):}) and det ( A^(2) - ( 1)/( 2) ...

    Text Solution

    |

  5. If cot^(-1) ( alpha) = cot^(-1)(2) + cot^(-1)(8) + cot^(-1)(18) + cot ...

    Text Solution

    |

  6. Two dices are rolled. If both dices have six faces numbered 1,2,3,5,7 ...

    Text Solution

    |

  7. In a triangle PQR , the co-ordinates of the points P and Q are ( -2,4)...

    Text Solution

    |

  8. Which of the following statements is incorrect for the function g ( al...

    Text Solution

    |

  9. What is the inverse of the function y=5^(logx)?

    Text Solution

    |

  10. Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 ...

    Text Solution

    |

  11. Let vec( a) = 2 hat(i) - 3 hat(j) + 4 hat(k) and vec( b) = 7 hat(i) + ...

    Text Solution

    |

  12. In a school, there are three types of games to be played. Some of the ...

    Text Solution

    |

  13. The value of 4 + (1)/(5 + (1)/(4+ (1)/(5+ (1)/(4+....oo)))) is

    Text Solution

    |

  14. Area of the triangle formed by the complex number z, iz and z+iz is

    Text Solution

    |

  15. The sum of possible values of x for tan^(-1) ( x + 1) + cot ^(-1) ((1)...

    Text Solution

    |

  16. The equation of the plane which contains the y-axis and passes through...

    Text Solution

    |

  17. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  18. The value of underset( x rarr 0^(+))( lim) (cos^(-1) ( x- [x]^(2) ). s...

    Text Solution

    |

  19. Let f: R -{3} to R-{1} be defined by f(x) =(x-2)/(x-3) Let g: R to R...

    Text Solution

    |

  20. Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/...

    Text Solution

    |