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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Find the separate equation of the line represented by the following equation: 6x2 - 5xy - 6y2 = 0

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प्रश्न

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

6x2 - 5xy - 6y2 = 0

बेरीज
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उत्तर

6x2 - 5xy - 6y2 = 0

∴ 6x2 - 9xy + 4xy - 6y2 = 0

∴ 3x (2x - 3y) + 2y(2x - 3y) = 0

∴ (2x - 3y)(3x + 2y) = 0

the separate equations of the lines are

2x - 3y = 0  and  3x + 2y = 0.

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पाठ 4: Pair of Straight Lines - Miscellaneous Exercise 4 [पृष्ठ १३१]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 4 Pair of Straight Lines
Miscellaneous Exercise 4 | Q 3.1 | पृष्ठ १३१

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