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Choose correct alternatives: If the equation 4x2 + hxy + y2 = 0 represents two coincident lines, then h = _______ - Mathematics and Statistics

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प्रश्न

Choose correct alternatives:

If the equation 4x2 + hxy + y2 = 0 represents two coincident lines, then h = _______

विकल्प

  • ± 2

  • ± 3

  • ± 4

  • ± 5

MCQ

उत्तर

If the equation 4x2 + hxy + y2 = 0 represents two coincident lines, then h = ± 4.

Explanation:

ax2 + 2hxy + by2 = 0

a = 4, h = `"h"/2`, b = 1

h2 − ab = 0

`("h"/2)^2 - 4 xx 1 = 0`

`"h"^2/4 = 4`

h2 = 16

h = ± 4

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Notes

The answer in the textbook is incorrect.

  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Pair of Straight Lines - Miscellaneous Exercise 4 [पृष्ठ १२९]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 4 Pair of Straight Lines
Miscellaneous Exercise 4 | Q 1.01 | पृष्ठ १२९

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