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Ex 9.3, 5 (i) - Chapter 9 Class 11 Straight Lines
Last updated at August 8, 2026 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
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Transcript
Ex 9.3, 6 Find the distance between parallel lines 15x + 8y ā 34 = 0 and 15x + 8y + 31 = 0 We know that , distance between two parallel lines Ax + By + C1 = 0 & Ax + By + C2 = 0 is d = |š¶_1ā š¶_2 |/ā(š“^2 + šµ^2 ) Equation of first line is 15x + 8y ā 34 = 0 Above equation is of the form Ax + By + C1 = 0 where A = 15, B = 8 & C1 = ā 34 Equation of second line is 15x + 8y + 31 = 0 Above equation is of the form Ax + By + C2 = 0 where A = 15 , B = 8 , C2 = 31 Distance between parallel lines 15x + 8y ā 34 = 0 and 15x + 8y + 31 = 0 is d = |š¶_1ā š¶_2 |/ā(š“^2 + šµ^2 ) Putting values d = |ā34 ā 31|/ā(ć(15)ć^2 + (8)^2 ) d = |ā34 ā 31|/ā(225 + 64) d = |ā65|/ā289 d = 65/ā(17 Ć 17) d = 65/17 Thus, the required distance is šš/šš units
