Straight Lines
Kerala Board · Class 11 · Mathematics
Quick revision notes for Straight Lines — Kerala Board Class 11 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Slope of a Line
- Slope measures the steepness and direction of a line
- Slope is defined as the tangent of the angle of inclination
- For two points (x₁, y₁) and (x₂, y₂), slope m = (y₂ - y₁)/(x₂ - x₁)
Conditions for Parallelism and Perpendicularity
- Two non-vertical lines are parallel if and only if their slopes are equal
- Two non-vertical lines are perpendicular if and only if the product of their slopes is -1
- Parallel lines have the same inclination angle
Angle Between Two Lines
- The acute angle between two intersecting lines can be found using their slopes
- Two pairs of angles are formed when lines intersect - one acute, one obtuse
- The formula gives the tangent of the angle, from which the actual angle can be found
Equation of a Line - Various Forms
- A line can be represented by different forms of equations depending on given information
- Each form is useful for specific types of problems
- All forms can be converted to the general form Ax + By + C = 0
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Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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