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Choose correct alternatives: The difference between the slopes of the lines represented by 3x2 - 4xy + y2 = 0 is - Mathematics and Statistics

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प्रश्न

Choose correct alternatives:

The difference between the slopes of the lines represented by 3x2 - 4xy + y2 = 0 is 2

पर्याय

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MCQ

उत्तर

The difference between the slopes of the lines represented by 3x2 - 4xy + y2 = 0 is 2.

Explanation:

Comparing with

ax2 + 2hxy + by2 = 0

a = 3, 2h = -4, h = -2, b = 1

Let m1, m2 are slopes of the lines

∴ m1 - m2 = `(2sqrt(h^2 - ab))/b`

= `(2sqrt(4 - 3))/1`

= 2

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पाठ 4: Pair of Straight Lines - Miscellaneous Exercise 4 [पृष्ठ १२९]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
पाठ 4 Pair of Straight Lines
Miscellaneous Exercise 4 | Q 1.04 | पृष्ठ १२९

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