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Question
If (4x2 – 3y2) : (2x2 + 5y2) = 12 : 19 then x : y is ______.
Options
2 : 3
1 : 2
2 : 1
3 : 2
MCQ
Fill in the Blanks
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Solution
If (4x2 – 3y2) : (2x2 + 5y2) = 12 : 19 then x : y is 3 : 2.
Explanation:
Cross-multiplication gives 76x2 – 57y2 = 24x2 + 60y2, so 52x2 = 117y2 and `x^2/y^2 = 9/4`.
Therefore x : y = 3 : 2.
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