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Two-Point Form Video Lecture - Mathematics (Maths) Class 11 - Commerce

157 videos|242 docs|132 tests

FAQs on Two-Point Form Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is the two-point form in geometry?
Ans. The two-point form in geometry is a method used to express the equation of a straight line passing through two given points. It is represented as (y - y1) = m(x - x1), where (x1, y1) and (x, y) are the coordinates of the two points, and m is the slope of the line.
2. How is the slope calculated in the two-point form?
Ans. The slope, denoted by m, is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. It represents the steepness or incline of the line.
3. Can the two-point form be used to find the equation of a vertical line?
Ans. No, the two-point form cannot be used to find the equation of a vertical line. This is because the slope of a vertical line is undefined, and the formula for the two-point form requires a defined slope. A vertical line has the equation x = a, where 'a' is the x-coordinate of any point on the line.
4. Is it necessary for the two points to be distinct in the two-point form?
Ans. Yes, it is necessary for the two points to be distinct in the two-point form. The two-point form relies on the calculation of the slope between two different points. If the points are the same (coincide), the slope becomes undefined, and the equation cannot be determined.
5. Can the two-point form be used to find the equation of a curved line?
Ans. No, the two-point form cannot be used to find the equation of a curved line. The two-point form is specifically designed for straight lines. Curved lines require different methods, such as the use of equations involving higher degrees or parametric equations, to determine their equations.
157 videos|242 docs|132 tests
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