Home
Class 12
MATHS
If xy=a^2 and S = b^2x + c^2y where a, b...

If `xy=a^2 and S = b^2x + c^2y` where `a, b and c` are constants then the minimum value of S is

A

abc

B

`sqrtabc`

C

2abc

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • MAXIMA AND MINIMA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos

  • MATHEMATICAL REASONING

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos

  • MEASURES OF CENTRAL TENDENCY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

Similar Questions

Explore conceptually related problems

(-3x^(2) + 5x -2) -2(x^(2)-2x-1) If the expression above is rewritten in the form ax^(2) + bx +c , where a, b, and c are constants, what is the value of b ?

The sum of −2x^2 + x + 31 and 3x^2 + 7x − 8 can be written in the form ax^2 + bx + c , where a, b, and c are constants.What is the value of a + b + c ?

The curves x^(3) -3xy^(2) = a and 3x^(2)y -y^(3)=b, where a and b are constants, cut each other at an angle of

If the solution of the differential equation x^2dy + 2xy dx = sin x dx is x^(k)y + cos x = C (where C is an arbitrary constant), then the value of k is equal to

The value of int_(-2)^(2)(ax^(2011)+bx^(2001)+c)dx , where a , b , c are constants depends on the value of

Given that a , b , c , are the side of a A B C which is right angled at C , then the minimum value of (c/a+c/b)^2 is

Let x_1, x_2, ,x_n be x_n observations. Let y_i=a x_i+b for i=1,2,...,n where a and b are constants. If the mean of x_i's is 48 and their standard deviation is 12, the mean of y_i 's is 55 and standard deviation of y_i's is 15, the values of a and b are (a) a=1. 25 ,b=-5 (b) a=-1. 25 ,b=5 (c) a=2. 5 ,b=-5 (d) a=2. 5 ,b=5

Let x_1, x_2, ,x_n be x_n observations. Let y_i=a x_i+b for i=1,2,...,n where a and b are constants. If the mean of x_i's is 48 and their standard deviation is 12, the mean of y_i 's is 55 and standard deviation of y_i's is 15, the values of a and b are (a) a=1. 25 ,b=-5 (b) a=-1. 25 ,b=5 (c) a=2. 5 ,b=-5 (d) a=2. 5 ,b=5

Let f(x)=a+b|x|+c|x|^(2) , where a,b,c are real constants. The, f'(0) exists if

If a , ba n dc are the side of a triangle, then the minimum value of (2a)/(b+c-a)+(2b)/(c+a-b)+(2c)/(a+b-c)i s (a) 3 (b) 9 (c) 6 (d) 1

OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Exercise
  1. The minimum value of (1+1/(sin^nalpha))(1+1/(cos^nalpha)) is

    Text Solution

    |

  2. The minimum value of (x-a)(x-b) is

    Text Solution

    |

  3. The altitude of a right circular cone of minimum volume circumscired a...

    Text Solution

    |

  4. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  5. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

    Text Solution

    |

  6. In a triangleA B C ,/B=90^0 and b+a=4. The area of the triangle is ma...

    Text Solution

    |

  7. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

    Text Solution

    |

  8. Maximum area of a reactangle which can be inscribed in a circle of a...

    Text Solution

    |

  9. If f(x)={:{(3x^2+12x-1"," -1le x le2),(37-x ","2 lt x le 3):} then

    Text Solution

    |

  10. The perimeter of a sector is p. The area of the sector is maximum when...

    Text Solution

    |

  11. If a^(2)x^(4)b^(2)y^(4)=c^(6)(a,b,x,y,cgt0) then the maximum value of ...

    Text Solution

    |

  12. The function int(-1)^(x)t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has local mini...

    Text Solution

    |

  13. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

    Text Solution

    |

  14. Let a,b,c be positive real parameter and ax^2+ b/x^2gec, AA xepsilonR ...

    Text Solution

    |

  15. If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the ...

    Text Solution

    |

  16. Let f(x)=e^x sinx , slope of the curve y=f(x) is maximum at x=a if 'a'...

    Text Solution

    |

  17. If a gt b gt0 then maximum value of (ab(a^2-b^2)sinxcosx)/(a^2sin^2...

    Text Solution

    |

  18. The maximum value of the function f(x)=(1+x)^(0.3)/(1+x^(0.3)) in [0,1...

    Text Solution

    |

  19. If g(x)=max(y^(2)-xy)(0le yle1), then the minimum value of g(x) (for...

    Text Solution

    |

  20. If a,b,c are positive constants such that agtb then the maximum value...

    Text Solution

    |