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Examples: Distance between lines Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Examples: Distance between lines Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What is the formula to calculate the distance between two parallel lines?
Ans. The formula to calculate the distance between two parallel lines is given by the equation: distance = |c1 - c2| / √(a^2 + b^2), where c1 and c2 are the constant terms in the equations of the lines, and a and b are the coefficients of the x and y terms respectively.
2. How do you find the distance between two skew lines in 3D space?
Ans. To find the distance between two skew lines in 3D space, we need to find the shortest distance between any two points on the two lines. This can be done by considering a line perpendicular to both skew lines and finding the distance between the two lines along this perpendicular line.
3. Can the distance between two lines be negative?
Ans. No, the distance between two lines cannot be negative. The distance is always a positive value as it represents the length between the lines, and distance is always positive.
4. How do you determine if two lines are parallel or perpendicular using their equations?
Ans. Two lines are parallel if their slopes are equal. So, to determine if two lines are parallel, compare the coefficients of the x term in their equations. If they are equal, the lines are parallel. Two lines are perpendicular if the product of their slopes is -1. So, to determine if two lines are perpendicular, calculate the slopes of the lines and check if their product is -1.
5. Is the distance between two lines affected by their position in space?
Ans. No, the distance between two lines is not affected by their position in space. The distance between the lines is solely dependent on the equations or parameters of the lines and does not change based on their position or orientation in the coordinate system.
209 videos|443 docs|143 tests

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