If H is the harmonic mean of P and Q, then the value of H/P + H/Q is

Question

Question

This question was previously asked in

CDS Maths Previous Paper 6 (Held On: 18 Nov 2018)

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Answer 1

Concept:

If H is the Harmonic mean of numbers a and b and is given by

Calculation:

Given that,

H is the harmonic mean between P and Q.

⇒ H/P + H/Q = 2

Additional Information AM, GM, Formulas:

If A is the arithmetic mean of numbers a and b and is given by

⇔

If G is the geometric mean of the numbers a and b and is given by

⇔

Relation between AM, GM and HM

1. G2 = AH

2. AM ≥ GM ≥ HM