If α ∈ (0, π/2), then minimum value of  is

  1. tan α 
  2. 0
  3. 2 tan α 
  4. None of these

Answer (Detailed Solution Below)

Option 3 : 2 tan α 
Free
HTET PGT Official Computer Science Paper - 2019
60 Qs. 60 Marks 60 Mins

Detailed Solution

Download Solution PDF

Concept:

AM, GM, HM Formulas:

If A is the arithmetic mean 

⇔ 

If G is the geometric mean 

⇔ 

Relation between AM, and GM

AM  ≥  GM

Calculation:

Given that,

Let a = 2x, b = 

We know that,

AM  ≥  GM

⇒  ≥ 2 tan α 

⇒   ∈ [2 tan α, ∞)

Hence, the minimum value is 2 tan α​. 

Latest HTET TGT Updates

Last updated on Jul 12, 2025

-> HTET Exam Date is out. HTET Level 1 and 2 Exam will be conducted on 31st July 2025 and Level 3 on 30 July

-> Candidates with a bachelor's degree and B.Ed. or equivalent qualification can apply for this recruitment.

-> The validity duration of certificates pertaining to passing Haryana TET has been extended for a lifetime.

-> Enhance your exam preparation with the HTET Previous Year Papers.

Hot Links: teen patti all game teen patti casino teen patti bindaas teen patti star apk