Home
Class 12
MATHS
If p, q, r and s are positive real numbe...

If `p, q, r` and `s` are positive real numbers such that `p+ q + r + s = 2`, then `M=(p+q)(r+s)` satisfies the relation, when (A) `0 lt M leq 1` (B) `1 leq M leq 2` .(C) `2 leq M leq 3` (D) `3 leq M leq 4`

A

`0 lt M le 1`

B

`1 le M le 2`

C

`2 le M le 3`

D

`3 le M le 4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|18 Videos

  • RECTANGULAR COORDINATES AND STRAIGHT LINE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|16 Videos

  • SETS, RELATIONS AND FUNCTIONS

    BITSAT GUIDE|Exercise BITSAT Archives|19 Videos

Similar Questions

Explore conceptually related problems

If p,q,r,s are natural numbers such that p>=q>=r If 2^(p)+2^(q)+2^(r)=2^(s) then

If p,q,r,s,t are numbers such that p+q lt r+s q+r lt s+t r+s lt t+p s+t lt p+q thn the largest and smallest numbers are

If (2p+5q)/(2r+5s) = (4p-3q)/(4r-3s) , then find the relation between p, q, r and s.

In P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N Q R .

Number of 4 digit numbers of the form N= abcd which satisfy following three conditions : (i) 4000 leq N lt 6000 (ii) N is multiple of 5 (iii) 3 leq b lt c leq 6 is equal to

p, q, r and s are integers. If the A.M. of the roots of x^(2) - px + q^(2) = 0 and G.M. of the roots of x^(2) - rx + s^(2) = 0 are equal, then

BITSAT GUIDE-SEQUENCES AND SERIES -BITSAT ARCHIVES
  1. If p, q, r and s are positive real numbers such that p+ q + r + s = 2,...

    Text Solution

    |

  2. Sum of the series 1 + 2.2 + 3.2^(2) + 4.2^(3)+…+ 100.2^(99) is

    Text Solution

    |

  3. Find the sum to n terms of the series 5 + 55 + 555 + ...

    Text Solution

    |

  4. If a, b c are in GP and a^((1)/(x)) =b^((1)/(y)) =c^((1)/(z)), then x...

    Text Solution

    |

  5. The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15...

    Text Solution

    |

  6. The sum of 0.2 +0.22+0.222+ … to n terms is equal to

    Text Solution

    |

  7. If AM and HM between two numbers are 27 and 12 respectively, then thei...

    Text Solution

    |

  8. The value of (2)/(1!) + (2+4)/(2!) + (2+4+6)/(3!) + … is

    Text Solution

    |

  9. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  10. Let n is a rational number and x is a real number such that |x|lt1, th...

    Text Solution

    |

  11. The HM of two numbers is 4. If their arithmetic mean A and geometric m...

    Text Solution

    |

  12. For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to

    Text Solution

    |

  13. In DeltaABC, if (1)/(b+c)+(1)/(c+a)=(3)/(a+b+c), then C is equal to

    Text Solution

    |

  14. What is the sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt...

    Text Solution

    |

  15. Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n t...

    Text Solution

    |

  16. If a = log(2)3, b = log(2) 5 and c = log(7)2, then log(140) 63 in term...

    Text Solution

    |

  17. When 2^(31) is divided by 5 the remainder is

    Text Solution

    |

  18. Let alpha, beta, gamma and delta be four positive real numbers such t...

    Text Solution

    |