Home
Class 12
MATHS
If x^(2)+y^(2)=1, the minimum and maximu...

If `x^(2)+y^(2)=1`, the minimum and maximum values of `x+y` are

A

`-sqrt(2), sqrt(2)`

B

`-1,1`

C

`-(1)/(sqrt(2)),(1)/(sqrt(2))`

D

`-(1)/(sqrt(2)),2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS (2011)

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QUESTIONS|10 Videos
  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The maximum value of xy when x+2y=8 is

If y = cos^2(45^@+x)+(sin x - cos x)^2 , then find the maximum and minimum value of y.

If x^2+y^2=4 then find the maximum value of (x^3+y^3)/(x+y)

The maximum value of y=8-x^(2) is -

If 2x+3y=4 , find the maximum or minimum value of xy.

If (x)/(2)+(y)/(3)=1 , find the minimum value of x^(2)+y^(2) .

If (x,y) lies on the ellipse x^(2)+2y^(3) = 2 , then maximum value of x^(2)+y^(2)+ sqrt(2)xy - 1 is

Given , x+y=3 , find the maximum and minimum values of (9)/(x)+(36)/(y) .

Show that the function 2x^(3)+3x^(2)-36x+10 has a maximum value at x=-3 and a minimum value at x=2 , also find the maximum and minimum values of the function.

What is the minimum value of 2x+3y, when xy=6?

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. The sum of first n terms of a series is 3^(n)(a+b) when a, b are const...

    Text Solution

    |

  2. A and B are subsets of the universal set uu such that n (uu)=800, n(A)...

    Text Solution

    |

  3. If x^(2)+y^(2)=1, the minimum and maximum values of x+y are

    Text Solution

    |

  4. Let f(x)=a^(x)(a gt 0) be written as f(x)=g(x)+h(x), when g (x) is an ...

    Text Solution

    |

  5. A=[(-i,0),(0,i)] then A^(T)A= (where I is 2xx2 identity matrix)

    Text Solution

    |

  6. Show that ,the maximum value of ((1)/(x))^(x) is e^((1)/(e)

    Text Solution

    |

  7. The value of the integeral int(-pi//7)^(pi//7)x^(3) cos^(2)x dx is

    Text Solution

    |

  8. The sum of the series 1+(1)/(3.9)+(1)/(5.81)+(1)/(7.729)+……. to oo is

    Text Solution

    |

  9. Using integration find the area of the region bounded by the parabola ...

    Text Solution

    |

  10. If m and n denote respectively the order and degree of a differential ...

    Text Solution

    |

  11. A particle is moving along the x - axis in such a way that it has disp...

    Text Solution

    |

  12. The identity mapping I(c ) : S to S is defined as I(s)(x)=x for x in S...

    Text Solution

    |

  13. If z = x + iy and arg ((z-1)/(z+1))=(pi)/(4), then the locus of (x, y)...

    Text Solution

    |

  14. Solve the equation (dy)/(dx)+y/x=x^2

    Text Solution

    |

  15. A partiole is moving in a straight line such that its velocity at time...

    Text Solution

    |

  16. For an integrable function f (x) in [-3, 3], which of the following is...

    Text Solution

    |

  17. The area bounded by the parabola y^(2)=2x+1 and the line x-y=1 is

    Text Solution

    |

  18. If the circles x^(2)+y^(2)-4r x-2ry+4r^(2)=0 and x^(2)+y^(2)=25 touch ...

    Text Solution

    |

  19. The minimum value of 6 cos alpha + 8 sin alpha + 11 is

    Text Solution

    |

  20. If alpha, beta be the roots of the equation x^(2)+x+1=0, the value of ...

    Text Solution

    |