Distance of a point from a line
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The document includes problems related to coordinate geometry, specifically focusing on the distance from a point to a line and the distance between parallel lines. It presents several questions to solve, involving calculations of distances and finding equations of lines that are parallel or equidistant. The content is aimed at grade 11 mathematics students.
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Distance of a point from a line
- 1. GRADE 11 MATH COORDINATE GEOMETRY
- 2. Preview Distance of a point from a line Distance between 2 parallel lines www.mathmadeeasy.co
- 3. Distance of a point From ax + by +c = 0 is Distance between 2 parallel lines
- 4. Question 1 Find the distance of the point P (3 , - 5) from the line 3x – 4y – 26 =0 Distance
- 5. Question 2 Find the values of k given that the distance of (4,1 ) from 3x – 4y +k =0 is 4 units
- 6. Question 3 Find the equation of straight lines when are parallel to the line x + 7y +2 = 0 and at a unit distance From (2 , - 1) Since the line is parallel to x+ 7y + 2 =0 it’s equation is
- 7. Equation of the lines are
- 8. Question 4 Find the points on the x axis whose perpendicular distance from the line Let me required point =(a,0)
- 9. Points are
- 10. Question 5 Find the equation of the line which lies midway between the lines 2x + 3y + 7= 0 and 2x + 3y + 5 = 0 The line is mid parallel to the 2 lines. It’s equation is
- 11. This point is equidistant from both lines Equation of the line
- 12. Question 6 Find the distance between the lines 3x + 4y = 9 and 6x + 8 y = 15 The 2 lines are parallel Put y = 0 in 3x + 4y =9
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