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Example 10 - Chapter 9 Class 11 Straight Lines
Last updated at April 16, 2024 by Teachoo
Distance - Between two parallel lines
Chapter 9 Class 11 Straight Lines
Concept wise
- Cordinate geometry questions
- Slope - Finding slope
- Slope - Prependicularity
- Angle between two lines by Slope
- 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
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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 10 Find the distance between the parallel lines 3x 4y + 7 = 0 and 3x 4y + 5 = 0 We know that , distance between two parallel lines Ax + By + C1 = 0 & Ax + By + C2 = 0 is d = | _1 _2 |/ ( ^2 + ^2 ) Distance between the parallel lines 3x 4y + 7 = 0 & 3x 4y + 5 = 0 is d = | _1 _2 |/ ( ^2 + ^2 ) Putting values d = |7 5|/ ((3)^2 + ( 4)^2 ) d = |2|/ (9 + 16) d = 2/ 25 d = 2/ (5 5) d = 2/5 Thus, the required distance is 2/5 units
