Home
Class 11
MATHS
Let x, y be real variable satisfying the...

Let x, y be real variable satisfying the `x^2 + y^2 + 8x - 10 y - 40 = 0` Let ` a = max{(x + 2)^2 + (y - 3)^2}` and `b = min{(x + 2)^2 + (y - 3)^2}`, then

A

a + b = 18

B

`a + b = sqrt 2`

C

`a - b = 4 sqrt2`

D

`a cdot b = 73`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

Let xa n dy be real variables satisfying x^2+y^2+8x-10 y-40=0 . Let a=max{sqrt((x+2)^2+(y-3)^2)} and b=min{sqrt((x+2)^2+(y-3)^2)} . Then (a) a+b=18 (b) a+b=sqrt(2) (c) a-b=4sqrt(2) (d) adotb=73

Let x and y be two real variable such that x >0 and x y=1 . Find the minimum value of x+y .

Let's find the values of the following x = 2, y = -1 x^3 - 8y^3

Let us multiply with the help of identity . (x^2 + y^2) (x^4 - x^2y^2 + y^4)

Let's simplify:- (x + y) (x^2 -xy + y^2) + ( x - y) (x^2 + xy + y^2)

Using formula let's show that. (2x + 3y)^2 - (2x - 3y)^2 = 24xy

Let's find value of : (x - y)a + (y - z) b + (z -x)c if a = x^2 + xy + y^2,b = y^2 + yz + z^2, c = z^2 + zx + x^2

Let us factorise the following. (3x^4 + 2x^2y^2 - y^4)

Let us factorise the following. 3x^4 - 4x^2y^2 + y^4

Let A(k) be the area bounded by the curves y=x^(2)+2x-3 and y=kx+1. Then

PATHFINDER-CIRCLE-QUESTION BANK
  1. The equations of the tangents to the circle x^2 + y^2 = 25 which are i...

    Text Solution

    |

  2. The number of tangents to the circle x^2 + y^2 - 8x - 6y + 9 = 0 which...

    Text Solution

    |

  3. Let x, y be real variable satisfying the x^2 + y^2 + 8x - 10 y - 40 = ...

    Text Solution

    |

  4. The circle x^2 + y^2 - 2x - 4y + 1 = 0 and x^2 + y^2 + 4x + 4y - 1 = ...

    Text Solution

    |

  5. Point M moved on the circle (x - 4)^2 + (y - 8)^2 = 20 Then it broke a...

    Text Solution

    |

  6. The equation of the tangents drawn from the origin to the circle x^2 +...

    Text Solution

    |

  7. The equation of a circle of radius 1 touching the circle x^2 + y^2 - 2...

    Text Solution

    |

  8. The range of value of 'a' such that angle theta between the pair of ta...

    Text Solution

    |

  9. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |

  10. Let L1 be a straight line passing through the origin and L2 be the str...

    Text Solution

    |

  11. Three sides of a triangle have the equation Li = y - mi x = 0 , I = 1,...

    Text Solution

    |

  12. Consider the circle x^2 + y^2 - 10x - 6y + 30 = 0 Let O be the centre ...

    Text Solution

    |

  13. From a point P(alpha, beta) a pair of tangents PQ and PR drawn to circ...

    Text Solution

    |

  14. From a point P(alpha, beta) a pair of tangents PQ and PR drawn to circ...

    Text Solution

    |

  15. If7l^2 - 9m^2 + 8l + 1 = 0 and we have to find equation of circle havi...

    Text Solution

    |

  16. If7l^2 - 9m^2 + 8l + 1 = 0 and we have to find equation of circle havi...

    Text Solution

    |

  17. Match List - I with List-II

    Text Solution

    |

  18. Match List - I with List-II

    Text Solution

    |

  19. The line joining (5, 0) to (10 cos theta, 10 sin theta) is divided int...

    Text Solution

    |

  20. C1 is a circle with centre at the origin and radius equal to 'r' and C...

    Text Solution

    |