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How many least number of distinct poi...

How many least number of distinct points determine a unique plane?

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To determine a unique plane in Euclidean geometry, we need to follow these steps: 1. **Understanding the Concept of a Plane**: A plane is a flat, two-dimensional surface that extends infinitely in all directions. In Euclidean geometry, a plane can be defined by points. 2. **Identifying Points**: We need to consider how many distinct points are required to define a unique plane. A single point does not define a plane, as it can lie anywhere in space. 3. **Using Two Points**: When we take two distinct points, we can draw a straight line connecting them. However, this line does not define a unique plane because there are infinitely many planes that can contain this line. ...
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RD SHARMA-INTRODUCTION TO EUCLID'S GEOMETRY-All Questions
  1. Define the following terms: Concurrent lines

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  2. Define the following terms: Ray

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  3. Define the following terms: Half-line

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  4. How many lines can pass through a given points? In how many points ...

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  5. Given two points P\ a n d\ Q , find how many line segments do they ...

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  6. Two distinct points in a plane determine a ................ line

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  7. Two distinct .......... in a plane cannot have more than one point ...

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  8. Given a line and a point, not on the line, there is one and only......

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  9. A line separates a plane into ..... parts namely the ...... and ...

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  10. How many least number of distinct points determine a unique line?

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  11. How many lines can be drawn through both of the given points?

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  12. How many lines can be drawn through a given point.

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  13. In how many points two distinct lines can intersect?

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  14. In how many points a line, not in a plane, can intersect the plane?

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  15. In how many points two distinct planes can intersect?

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  16. In how many lines two distinct planes can intersect?

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  17. How many least number of distinct points determine a unique plane?

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  18. Given three distinct points in a plane, how many lines can be drawn...

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  19. How many planes can be made to pass through two points?

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  20. How many planes can be made to pass through three distinct points?

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