Question

1. Check whether the following numbers are in proportion :
(i) 3, 5, 6, 10
(ii) 12, 4.8, 25, 10​

Answer 1

Answer:

If a, b, c are in continued proportion then b2 = ac. i. 2, 4, 8 Let, a = 2, b = 4 and c = 8 Here, b2 = 42 = 16 ac = 2 x 8 = 16 ∴ b2 = ac ∴ 2, 4,8 are in continued proportion. ii. 1, 2, 3 Let, a = 1, b = 2 and c = 3 Here, b2 = 22 = 4 ac = 1 x 3 = 3 ∴ b2 ≠ ac ∴ 1, 2,3 are not in continued proportion. iii. 9, 12, 16 Let, a = 9, b = 12 and c = 16 Here, b2 = 122 = 144 ac = 9 x 16 = 144 ∴ b2 = ac ∴ 9, 12, 16 are in continued proportion. iv. 3, 5, 8 Let, a = 3, b = 5 and c = 8 Here, b2 = 52 = 25 ac = 3 x 8 = 24 ∴ b2 ≠ ac ∴ 3, 5, 8 are not in continued proportion.Read more on Sarthaks.com - https://www.sarthaks.com/847699/check-whether-the-following-numbers-are-in-continued-proportion-i-2-4-8-ii-1-2-3-iii-9-12-16

Step-by-step explanation:

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