Home
Class 12
MATHS
Let alpha and beta be two positive real...

Let `alpha` and `beta` be two positive real numbers. Suppose `A_1, A_2` are two arithmetic means; `G_1 ,G_2` are tow geometrie means and `H_1 H_2` are two harmonic means between `alpha` and `beta`, then

A

`(2(a^(2)+b^(2))+5ab)/(9b)`

B

`(a^(2)+b^(2))/(9ab)+5`

C

`(a^(2)+b^(2)+5(a+b))/(9ab)`

D

`(a^(2)+b^(2)+7(a+b))/(3(a+b)ab)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers|87 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES LEVEL-1 (Single Correct Answer Type Questions)|65 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

If arithmetic mean of two positive numbers is A, their geometric mean is G and harmonic mean H, then H is equal to

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of q is

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of p is

If the arithmetic geometric and harmonic menas between two positive real numbers be A, G and H, then

Let a and b be two different natural numbers whose harmonic mean is 10 then their arithmetic mean is (1)12 (2) 15 (3) 16 (4) 18

G is the geometric mean and p and q are two arithmetic means between two numbers a and b, prove that : G^(2)=(2p-q)(2q-p)

The arithmetic mean of two positive numbers a and b exceeds their geometric mean by (3)/(2) and the geometric mean exceeds their harmonic mean by (6)/(5) . If a+b=alpha and |a-b|=beta, then the value of (10beta)/(alpha) is equal to