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Video: Distance of a Point from a Line and Distance between 2 Parallel Lines Video Lecture | Mathematics (Maths) Class 11 - Commerce

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FAQs on Video: Distance of a Point from a Line and Distance between 2 Parallel Lines Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is the formula to calculate the distance of a point from a line?
Ans. The formula to calculate the distance of a point (x1, y1) from a line Ax + By + C = 0 is given by the formula: Distance = |Ax1 + By1 + C| / √(A^2 + B^2).
2. How do you find the distance between two parallel lines?
Ans. To find the distance between two parallel lines, you can take any point on one line and find the perpendicular distance from it to the other line. This perpendicular distance will be the required distance between the two parallel lines.
3. Can the distance of a point from a line be negative?
Ans. No, the distance of a point from a line is always positive. It represents the perpendicular distance from the point to the line.
4. What does it mean when the distance of a point from a line is zero?
Ans. When the distance of a point from a line is zero, it means that the point lies on the line itself. In other words, the point satisfies the equation of the line.
5. How do you find the distance between two parallel lines when their equations are given?
Ans. To find the distance between two parallel lines with equations Ax + By + C1 = 0 and Ax + By + C2 = 0, you can consider any point on one line and find the perpendicular distance from it to the other line using the formula mentioned in question 1.
75 videos|238 docs|91 tests

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