InstituteMaharashtra State Board (MSBSHSE)

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Subject Mathematics and Statistics

Topic Pair of Straight Lines

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Pair of Straight Lines

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- 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.