Match List – I with List – II.

Choose the correct answer from the options given below:

A-III, B-I, C-IV, D-II

A. The fourth proportional to 4, 9, 12

 = \(\frac{12 × 9 }{ 4 }\)

= 27 (III)

B. The mean proportional between 0.08 and 0.18 = \(\sqrt {0.8 × 0.18}\)

= 0.12 ( I )

C. The third proportional to 16 and 36 = \(\frac{36 × 36}{ 16 }\) 
= 81

D. The mean proportional between $6+3 \sqrt{3}$ and $8-4 \sqrt{3}$

= \(\sqrt {( 6 + 3√3) × ( 8 - 4√3) }\)

= \(\sqrt { 48 - 24√3 + 24√3 - 36  }\)

 = \(\sqrt { 12  }\)

 = 2\(\sqrt { 3 }\)

 The correct answer is Option (3) → A-III, B-I, C-IV, D-II