11th Mathematics NCERT Chapter 9
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– Chapter 9: Straight Lines
1. Introduction to Coordinate Geometry
2. Distance Between Two Points Formula
3. Coordinates of a Point Dividing a Line Segment
4. Mid-point of a Line Segment
5. Area of a Triangle
6. Slope of a Line
7. Inclination of a Line
8. Slope Calculation with Two Given Points
9. Point-Slope Form
10. Two-Point Form
11. Slope-Intercept Form
12. Miscellaneous Exercises【4:0†source】【4:1†source】【4:2†source】
Find the values of k for which the line (k–3) x – (4 – k2) y + k2 – 7k + 6 = 0 is passing through the origin.
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k = 2 or k = 4
What are the points on the y-axis whose distance from the line x + 3y = 4 is 4 units?
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(-4, 0) and (2, 0)
Find the equation of the line parallel to the y-axis and passing through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0.
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x = -3
Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x – y = 0.
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5 units
Find the direction in which a straight line must be drawn through the point (-1, 2) so that its point of intersection with the line x + y = 4 may be at a distance of 3 units from this point.
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This requires finding the equation of the line at a specific orientation which may require trigonometric calculations to determine the direction accurately.
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