Home
Class 11
MATHS
Let a ,b and c be real numbers such that...

Let `a ,b and c` be real numbers such that `a+2b+c=4` . Find the maximum value of `(a b+b c+c a)dot`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are positive real numbers such that a + b +c=18, find the maximum value of a^2b^3c^4

Let a ,b ,and c be real numbers such that 4a+2b+c=0 and a b > 0. Then the equation a x^2+b x+c = 0

Let a, b and c be real numbers such that a - 7b + 8c = 4 and 8a + 4b - c = 7. What is the value of a^(2) - b^(2) + c^(2) .

Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. Then the equation ax^(2) + bx + c = 0 has

If a, b, c are positive real number such that lamba abc is the minimum value of a(b^(2)+c^(2))+b(c^(2)+a^(2))+c(a^(2)+b^(2)) , then lambda =

Let a,b,c,d be real numbers such that |a-b|=2, |b-c|=3, |c-d|=4 Then the sum of all possible values of |a-d|=

Let a,b,c and d be non-negative real number such that a ^(5)+b^(5) le 1 and c ^(5) + d^(5) le 1. Find the maximum value of a ^(2) c ^(3) +b^(2) d ^(3).

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If a+b+c=0 and a^2+b^2+c^2=16 , find the value of a b+b c+c a

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the value of a for which the equation a sin(x+pi/4)=sin2x+9...

    Text Solution

    |

  2. Given z=f(x)+ig(x) where f,g:(0,1) to (0,1) are real valued functions....

    Text Solution

    |

  3. Let a ,b and c be real numbers such that a+2b+c=4 . Find the maximum v...

    Text Solution

    |

  4. If z=x+i y , then the equation |(2z-i)/(z+1)|=m does not represents a ...

    Text Solution

    |

  5. Prove that for real values of x ,(a x^2+3x-4)//(3x-4x^2+a) may have a...

    Text Solution

    |

  6. Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect ...

    Text Solution

    |

  7. Let x^2-(m-3)x+m=0 (m epsilon R) be a quadratic equation . Find the va...

    Text Solution

    |

  8. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It ...

    Text Solution

    |

  9. Prove that for all real values of x and y ,x^2+2x y+3y^2-6x-2ygeq-11.

    Text Solution

    |

  10. Let z=x+i y be a complex number where xa n dy are integers. Then, the ...

    Text Solution

    |

  11. The values of 'a' for which the equation (x^2 + x + 2)^2 - ( a-3)( x^2...

    Text Solution

    |

  12. A man walks a distance of 3 units from the origin towards the North-...

    Text Solution

    |

  13. Find the values of a for whilch the equation sin^4x+asin^2x+1=0 will h...

    Text Solution

    |

  14. If |z|=1a n dz!=+-1, then all the values of z/(1-z^2) lie on (a)a l...

    Text Solution

    |

  15. Find all the value of m for which the equation sin^2x-(m-3)sinx+m=0 ...

    Text Solution

    |

  16. Let A(z1) and (z2) represent two complex numbers on the complex plan...

    Text Solution

    |

  17. If the difference between the roots of the equation x^2+""a x""+""1...

    Text Solution

    |

  18. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

    Text Solution

    |

  19. Find the condition if the roots of a x^2+2b x+c=0 and b x^2-2sqrt(a c ...

    Text Solution

    |

  20. Locus of complex number satisfying "a r g"[(z-5+4i)/(z+3-2i)]=pi/4 is ...

    Text Solution

    |