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Ex 9.2, 6 - Chapter 9 Class 11 Straight Lines
Last updated at April 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
Ex10.2, 6 Find the equation of the line which intersects the y-axis at a distance of 2 units above the origin and makes an angle of 30° with the positive direction of the x-axis. Line AB intersects the y-axis 2 units above origin At y-axis, x will always 0, ∴ Line AB cuts y-axis at P (0,2) Also, line AB makes an angle of 30° with the x-axis ∴ Slope = tan θ m = tan 30° = 1/√3 We know that equation of line passing through (x0, y0) & having slope m is (y – y0) = m(x – x0) Here x0 = 0 , y0 = 2 & m = 1/√3 Putting values (y – y0) = m(x – x0) (y – 2) = 1/√3 (x – 0) (y – 2) = 1/√3 x √3(y – 2) = x √3y – 2√3 = x √3y – x – 2√3 = 0 Hence, the required equation is √3y – x – 2√3 = 0
