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Straight Lines Solved Examples for JEE Video Lecture | Mathematics (Maths) for JEE Main & Advanced

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FAQs on Straight Lines Solved Examples for JEE Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. How do you find the equation of a straight line given two points on it?
Ans. To find the equation of a straight line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$, you can use the formula $y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x - x_1)$.
2. What is the slope-intercept form of the equation of a straight line?
Ans. The slope-intercept form of the equation of a straight line is $y = mx + b$, where $m$ is the slope of the line and $b$ is the y-intercept.
3. How can you determine if two lines are parallel or perpendicular to each other?
Ans. Two lines are parallel if they have the same slope, and they are perpendicular if the product of their slopes is -1.
4. What is the distance between a point and a line in the coordinate plane?
Ans. The distance between a point $(x_0, y_0)$ and a line $Ax + By + C = 0$ is given by the formula $\frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}}$.
5. How do you find the equation of a line parallel or perpendicular to a given line passing through a specific point?
Ans. To find the equation of a line parallel to a given line with slope $m$, you can use the formula $y = mx + b$, where $b$ is the y-intercept determined by the point it passes through. For a line perpendicular to the given line, the slope will be $-\frac{1}{m}$.
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