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Write the separate equations of lines represented by the equation 5x2 – 9y2 = 0 - Mathematics and Statistics

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Question

Write the separate equations of lines represented by the equation 5x2 – 9y2 = 0

Sum
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Solution

Given, 5x2 – 9y2 = 0

⇒ `(sqrt(5)x)^2 - (3y)^2` = 0

⇒ `(sqrt(5)x - 3y)(sqrt(5)x + 3y)` = 0

∴ The Separate equations are `sqrt(5)x + 3y` = 0 and `sqrt(5)x - 3y` = 0

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2021-2022 (March) Set 1

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