Home
Class 12
MATHS
If 2a+b+3c=1a n da >0,b >0,c >0, then th...

If `2a+b+3c=1a n da >0,b >0,c >0,` then the greatest value of `a^4b^2c^2` is `1/(9. 4^8)` b. `1/(9. 4^5)` c. `1/(9^4 .4^8)` d. `1/(9^4 .4^)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If 4a+3b+2c=5 and a>0,b>0,c>0 then the greatest value of a^2b^3c^4 will be ?

If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of a^(4)b^(2)c^(2)"_____" .

If a+b+c=0 and a^(2)+b^(2)+c^(2)=1, then the value of a^(4)+b^(4)+c^(4) is

If a+b+c=0 and a^(2)+b^(2)+c^(2)=1, then the value of a^(4)+b^(4)+c^(4) is 1 b.4 c.(1)/(2) d.(1)/(4)

If a+b+c=0&a^(2)+b^(2)+c^(2)=1 then the value of a^(4)+b^(4)+c^(4) is

Find the value of (2/3)^2 a) 4/9 b) 9/4 c) -2/9 d)0

Given a=1(5)/(7),b=(1)/(4),c=(1)/(9) and d=-1(1)/(4), then the value of (a(b-c))/(d) is

Find the value of ( 2.bar 6 - 0.bar 9 ) is ( a ) 4/3 ( b ) 1 /3 ( c ) 5/3

If [2-1 1 0-3 4]A=[-1-8-10 1-2-5 9 22 15] , then sum of all the elements of matrix A is 0 b. 1 c. 2 d. -3

RESONANCE DPP-JEE MAINS-All Questions
  1. Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)++n(1-x)(1-2x)(1-3x)[1...

    Text Solution

    |

  2. [2x]-2[x]=lambda where [.] represents greatest integer function and {....

    Text Solution

    |

  3. If 2a+b+3c=1a n da >0,b >0,c >0, then the greatest value of a^4b^2c^2 ...

    Text Solution

    |

  4. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

    Text Solution

    |

  5. Solve |(x^2-5x+4)/(x^2-4)|<=1

    Text Solution

    |

  6. A square matrix B is said to be an orthogonal matrix of order n if BB^...

    Text Solution

    |

  7. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

    Text Solution

    |

  8. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

    Text Solution

    |

  9. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  10. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  11. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

    Text Solution

    |

  12. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

    Text Solution

    |

  13. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

  14. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

    Text Solution

    |

  15. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

    Text Solution

    |

  16. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

    Text Solution

    |

  17. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  18. If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...

    Text Solution

    |

  19. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

    Text Solution

    |

  20. A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...

    Text Solution

    |