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

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

1. What is the angle between two intersecting lines?
Ans. The angle between two intersecting lines is formed by the intersection of the lines and is measured in degrees. It is the amount of rotation required to bring one line into coincidence with the other.
2. How can I find the angle between two lines given their equations?
Ans. To find the angle between two lines given their equations, you can use the formula: angle = arctan(m2 - m1 / 1 + m1 * m2), where m1 and m2 are the slopes of the lines. This formula calculates the arctangent of the difference of the slopes divided by 1 plus the product of the slopes.
3. Can the angle between two lines be negative?
Ans. No, the angle between two lines cannot be negative. The angle is always measured as a positive value, ranging from 0 to 180 degrees. If the lines are parallel, the angle would be 0 degrees, and if they are perpendicular, the angle would be 90 degrees.
4. What does it mean if the angle between two lines is 180 degrees?
Ans. If the angle between two lines is 180 degrees, it means the lines are collinear, meaning they lie on the same straight line. In other words, the lines are parallel and will never intersect.
5. Is there a specific range for the angle between two lines?
Ans. Yes, the angle between two lines always falls within the range of 0 to 180 degrees. If the angle is 0 degrees, the lines are parallel, and if it is 180 degrees, the lines are collinear. Any other angle within this range represents the amount of rotation required to bring one line into coincidence with the other.
209 videos|443 docs|143 tests

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