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With the help of figure, find the maximum and minimum number of points of intersection of four lines in a plane.

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What is the maximum number of points of intersection of three lines in a plane? What is the minimum number?

Column I, Column II Number of straight lines joining any two of 10 points of which four points are collinear, p. 30 Maximum number of points of intersection of 10 straight lines in the plane, q. 60 Maximum number of points of intersection of six circles in the plane, r. 40 Maximum number of points of intersection of six parabolas, s. 45

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RD SHARMA ENGLISH-BASIC GEOMETRICAL CONCEPTS-All Questions
  1. From Fig., write concurrent lines and their points of concurrence.

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  2. Mark four points A ,\ B ,\ C\ a n d\ D in your notebook such that no t...

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  3. What is the maximum number of points of intersection of three lines in...

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  4. With the help of figure, find the maximum and minimum number of points...

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  5. Lines p ,\ q\ a n d\ r are concurrent. Also, lines p ,\ r\ a n d\ s ar...

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  6. Lines p ,\ q\ a n d\ r are concurrent. Also lines p ,\ s\ a n d\ t are...

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  7. Fill in the blanks in the following statements using suitable words: ...

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  8. Identify rays and line segments form the following figures:

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  9. How many line segments are there in each of the following figures? Nam...

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  10. In Fig. points are given in two rows. Join the points AM , HE ,TO,RUN,...

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  11. In Fig., name: Five line segments.                       (ii) Five ray...

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  12. In each of the following cases, state whether you can draw line segmen...

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  13. Mark the following points on a sheet of paper. Tell how many line s...

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  14. Count the number of line segments in Fig.

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  15. In Fig., name all rays with initial points as A ,\ B\ a n d\ C re...

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  16. Give three examples of line segments from your environmen...

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  17. Draw rough diagrams to illustrate the following: (i) Open curve (ii) C...

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  18. Classify the following curves as open or closed:

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  19. Draw any polygon and shade its interior.

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  20. Illustrate, if possible, each one of the following with a rough dia...

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