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Question 1 - Collinearity of 3 points by sliope - Chapter 9 Class 11 Straight Lines
Last updated at Dec. 16, 2024 by Teachoo
Collinearity of 3 points by sliope
Chapter 9 Class 11 Straight Lines
Concept wise
- Cordinate geometry questions
- Slope - Finding slope
- Slope - Prependicularity
- Angle between two lines by Slope
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Collinearity of 3 points by sliope
- Point Slope form
- Slope-Intercept form
- Intercept form
- Normal form
- Given Statement
- Two lines // or/and prependicular
- Angle between two lines
- Distance - Between two parallel lines
- Distance of a point from a line
- Distance of a point from a line along a line
- Other Type of questions - Area of Triangle formed
- Other Type of questions - 3 lines Concurrent
- Other Type of questions - Image
- Other Type of questions - Mix
Transcript
Example 4 Three points P (h, k), Q (x1, y1) and R (x2, y2) lie on a line. Show that (h x1) (y2 y1) = (k y1) (x2 x1). Since 3 points P, Q and R are collinear So, Slope of QP = Slope of RQ We know that slope of a line passing through (x1, y1)(x2, y2)is m = ( _2 _1)/( _2 _1 ) Now, Slope of QP = Slope of RQ ( _1 )/( _1 ) = ( _2 _1)/( _2 _1 ) (k y1) (x2 x1) = (h x1) (y2 y1) (h x1) (y2 y1) = (k y1) (x2 x1) Hence proved
