If 3a^2 - 10ab + 8b^2 = 0, then a : b is:

Correct Answer is : (4 : 3 ) or (2 : 1)

Ratio and Proportion Practice Test 4

Question : 26 of 40

Marks: +1, -0

3a^2 - 10ab + 8b^2 = 0

, then a : b is:

(5 : 4) or (3 : 5)
(4 : 3 ) or (2 : 1)
(3 : 4) or (1 : 2)
Only (4 : 3)
Only (2 : 1)

Solution:

3a^2 - 10ab + 8b^2= 0

3a^2 - 6ab - 4ab + 8b^2 = 0

3a(a - 2b) - 4b (a - 2b) = 0

(3a - 4b) (a - 2b) = 0

3a - 4b = 0, a - 2b = 0

3a = 4b, a = 2b

a/b=4/3,a/b=2/1

∴ a : b = 4 : 3 or 2 : 1

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