Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2020MathematicsSequences and SeriesActual

If a, b, c are positive numbers, then least value of (a+b+c) ( 1 a + 1 b + 1 c ) is

Options

  1. A1
  2. B6
  3. C9
  4. DNone

Correct answer

C. 9

Step-by-step solution

AM HM a+b+c 3 3 1 a + 1 b + 1 c (a+b+c) ( 1 a + 1 b + 1 c ) 9

Practice Sequences and Series on Quantrex Academy →

More from Sequences and Series

If a 0, b 0, c 0 and a, b, c are distinct, then (a+b)(b+c)(c+a) is greater than 2024If _ k=1 ^n k(k+1)(k-1)=p n^4+q n^3+t n^2+s n where p, q, t and s are constants, then the value of s is equal to 2024There are four numbers of which the first three are in GP and the last three are in AP, whose common difference is 6 . If the first and the last numbers are equal, then two other n 2024If A=1+r^a+r^ 2 a +r^ 3 a + and B =1+ r ^ b + r ^ 2 ~b + r ^ 3 ~b + , then a b is equal to 2024The sum of the infinite series 1+ 5 6 + 12 6^2 + 22 6^3 + 35 6^4 + 51 6^5 + 70 6^6 + . . is equal to: 2024If ⁻¹ [ 1 1+1.2 ]+ ⁻¹ [ 1 1+2.3 ]+ + ⁻¹ [ 1 1+n(n+1) ]= ⁻¹[x] , then x is equal to 2024If arithmetic mean of two distinct positive real number a and b(a b) be twice their geometric mean, then a: b= 2024If y= ⁻¹ 1 x^2+x+1 + ⁻¹ 1 x^2+3 x+3 + ⁻¹ 1 x^2+5 x+7 + .to n terms, then d y d x = 2024 Full Sequences and Series list All BITSAT PYQs