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Ex 9.2, 5 - Chapter 9 Class 11 Straight Lines
Last updated at Dec. 16, 2024 by Teachoo
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
- 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
Ex 9.2, 5 Find the equation of the line which intersects the x-axis at a distance of 3 units to the left of origin with slope –2. Let line AB intersect the x-axis at a distance 3 units to the left of origin At x-axis, y is always 0 ∴ Line AB cuts x-axis at P (–3, 0) & slope of line AB is -2 i.e. m = –2 We know that equation of line passing through (x0, y0) with slope m is (y – y0) = m(x – x0) Here x0 = –3 ,y0 = 0 m = –2 Putting values (y – 0) = –2 (x + 3) y = –2 (x + 3) y = –2x – 6 2x + y + 6 = 0 Hence, the required equation is 2x + y + 6 = 0
