Home
Class 11
MATHS
If a,b,c,d are positive real number such...

If a,b,c,d are positive real number such that a+b+c+d=2 , then M=(a+b)(c+d) satisfies the relation:

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are positive real number, then the least value of (a+b+c)(1/a+1/b+1/c) is

If a,b,c are different positive real numbers such that b+c−a,c+a−b and a+b−c are positive, then (b+c−a)(c+a−b)(a+b−c)−abc is a. positive b. negative c. non-positive d. non-negative

If a,b,c,d are distinct positive numbers in AP, then

If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2 , then a+b+c+d is

If a,b,c,d are odd natural numbers such that a+b+c+d=20 then the number of values of ordered quadruplet (a,b,c,d) is

Let , a , b ,c ,d , p ,q ,r be positive real number such that a ,b , c are in G.P and a^(p)=b^(q)=c^(r) Then-

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|=

Statement 1: if a ,b ,c ,d are real numbers and A=[a b c d]a n dA^3=O ,t h e nA^2=Odot Statement 2: For matrix A=[a b c d] we have A^2=(a+d)A+(a d-b c)I=Odot

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

If a ,b ,c are three distinct positive real numbers, the number of real and distinct roots of a x^2+2b|x|-c=0 is 0 b. 4 c. 2 d. none of these

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. The minimum value of the sum of real number a^-5,a^-4,3a^-3,1,a^8 and ...

    Text Solution

    |

  2. If a1,a2,.....an are positive real number whose product is a fixed num...

    Text Solution

    |

  3. If a,b,c,d are positive real number such that a+b+c+d=2 , then M=(a+b)...

    Text Solution

    |

  4. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

  5. If alpha in (0,pi/2), then sqrt(x^2+x)+tan^2alpha/sqrt(x^2+x) is alw...

    Text Solution

    |

  6. In triangle A B C , prove that cos e c A/2+cos e c B/2+cos e c C/2geq...

    Text Solution

    |

  7. Prove that in A B C ,tanA+tanCgeq3sqrt(3,) where A , B , C are circle...

    Text Solution

    |

  8. If a ,b , a n dc are distinct positive real numbers such that a+b+c=1,...

    Text Solution

    |

  9. If a^2+b^2+c^2=x^2+y^2+z^2=1, then show that a x+b y+c z leq1.

    Text Solution

    |

  10. Prove that a^4+b^4+c^4>abc(a+b+c). [a,b,c are distinct positive real n...

    Text Solution

    |

  11. Prove that the greatest value of x y is c^3/sqrt(2a b), if a^2x^4+b^2y...

    Text Solution

    |

  12. If y = sin^-1(10x) + pi/2 then find the value of dy/dx .

    Text Solution

    |

  13. If a+b=1,a >0, prove that (a+1/a)^2+(b+1/b)^2geq(25)/2dot

    Text Solution

    |

  14. If x and y are positive real numbers and m, n are any positive integ...

    Text Solution

    |

  15. The least value of the expression 2(log)(10)x-(log)x(0. 01),forx >1, i...

    Text Solution

    |

  16. If a,b,c are positive real no., then prove that [(1+a)(1+b)(1+c)]^7 g...

    Text Solution

    |

  17. True / False For every intger n >1 , the inequality (n !)^(1//n)<(n+1)...

    Text Solution

    |

  18. If x ,y in R^+ satisfying x+y=3, then the maximum value of x^2y is.

    Text Solution

    |

  19. For anyx ,y , in R^+,x y >0 . Then the minimum value of (2x)/(y^3)+(x...

    Text Solution

    |

  20. If a ,b ,a n dc are positive and 9a+3b+c=90 , then the maximum value o...

    Text Solution

    |