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Choose correct alternatives: If acute angle between lines ax2 + 2hxy + by2 = 0 is, π4, then 4h2 = ______. - Mathematics and Statistics

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Question

Choose correct alternatives:

If acute angle between lines ax2 + 2hxy + by2 = 0 is, `pi/4`, then 4h2 = ______.

Options

  • a2 + 4ab + b2 

  • a2 + 6ab + b2 

  • (a + 2b)(a + 3b)

  • (a – 2b)(2a + b)

MCQ
Fill in the Blanks

Solution

If acute angle between lines ax2 + 2hxy + by2 = 0 is, `pi/4`, then 4h2 = `bb(underline(a^2 + 6ab + b^2)`.

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Angle between lines represented by ax2 + 2hxy + by2 = 0
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Chapter 4: Pair of Straight Lines - Miscellaneous Exercise 4 [Page 130]

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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 1.08 | Page 130

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