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Video tutorials - Mathematics and Statistics: Pair of Straight Lines H.S.C Maharashtra State Board (MSBSHSE)

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shaalaa.com | Acute angle between the lines

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Acute angle between the lines [00:08:51]
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Pair of Straight Lines
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Description

  • Pair of lines passing through origin -
  • Combined equation
  • Homogenous equation
  • Theorem - the joint equation of a pair of lines passing through origin and its converse
  • Acute angle between the lines represented by ax2 +2hxy+by2 =0
  • Condition for parallel lines
  • Condition for perpendicular lines
  • Pair of lines not passing through origin-combined equation of any two lines
  • Condition that the equation ax2 +2hxy+by2 +2gx+2fy+c=0 should represent a pair of lines (without proof)
  • Acute angle between the lines (without proof)
  • Condition of parallel and perpendicular lines
  • Point of intersection of two lines.
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