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Co-ordinate geometry - 1 Video Lecture | Crash Course for UGC NET Economics

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FAQs on Co-ordinate geometry - 1 Video Lecture - Crash Course for UGC NET Economics

1. What is co-ordinate geometry?
Ans. Co-ordinate geometry is a branch of mathematics that deals with the study of geometry using the coordinate system. It involves representing geometric figures using algebraic equations and analyzing their properties using algebraic techniques.
2. How is the distance between two points calculated in co-ordinate geometry?
Ans. The distance between two points in co-ordinate geometry is calculated using the distance formula, which is derived from the Pythagorean theorem. The formula is: \[ \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} \]
3. What is the equation of a straight line in co-ordinate geometry?
Ans. The equation of a straight line in co-ordinate geometry is given by the equation \( y = mx + c \), where \( m \) is the slope of the line and \( c \) is the y-intercept.
4. How do we find the slope of a line in co-ordinate geometry?
Ans. The slope of a line in co-ordinate geometry is calculated using the formula \( m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \), where \( (x_{1}, y_{1}) \) and \( (x_{2}, y_{2}) \) are two points on the line.
5. What are the different forms of equations of a straight line in co-ordinate geometry?
Ans. The different forms of equations of a straight line in co-ordinate geometry include slope-intercept form (\( y = mx + c \)), point-slope form (\( y - y_{1} = m(x - x_{1}) \)), and two-point form (\( \frac{y - y_{1}}{y_{2} - y_{1}} = \frac{x - x_{1}}{x_{2} - x_{1}} \)).

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