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Find the separate equation of the line represented by the following equation: 3x2 - y2 = 0 - Mathematics and Statistics

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Question

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

3x2 - y2 = 0

Sum

Solution

3x2 - y2 = 0

∴ `(sqrt3"x")^2 - "y"^2 = 0`

∴ `(sqrt3"x" - "y")(sqrt3"x" + "y") = 0`

the separate equations of the lines are

`sqrt3"x" - "y" = 0`  and  `sqrt3"x" + "y" = 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 3.3 | Page 131

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