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Find the separate equation of the line represented by the following equation: x2 - 4y2 = 0 - Mathematics and Statistics

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Question

Find the separate equation of the line represented by the following equation:

x2 - 4y2 = 0

Sum

Solution

x2 - 4y2 = 0

∴ x2 - (2y)2 = 0

∴ (x - 2y)(x + 2y) = 0

the separate equations of the lines are

x - 2y = 0  and x + 2y = 0

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Combined Equation of a Pair Lines
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Chapter 4: Pair of Straight Lines - Miscellaneous Exercise 4 [Page 131]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
Chapter 4 Pair of Straight Lines
Miscellaneous Exercise 4 | Q 3.2 | Page 131

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