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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

. Show that the lines represented by 3x2 - 4xy - 3y2 = 0 are perpendicular to each other. - Mathematics and Statistics

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प्रश्न

. Show that the lines represented by 3x2 - 4xy - 3y2 = 0 are perpendicular to each other.

बेरीज
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उत्तर

Comparing the equation 3x2 - 4xy - 3y2 = 0 with ax2 + 2hxy + by2 = 0, we get, a = 3, 2h = -4, b = -3.

Since a + b = 3 + (- 3) = 0, the lines represented by 3x2 - 4xy - 3y2 = 0 are perpendicular to each other.

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Angle between lines represented by ax2 + 2hxy + by2 = 0
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Pair of Straight Lines - Exercise 4.2 [पृष्ठ १२४]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 4 Pair of Straight Lines
Exercise 4.2 | Q 1 | पृष्ठ १२४

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