3
The number of diagonals (a) that can be drawn in polygons with a given number of sides (n) is being investigated
a
(a) 12
(d) 19.
Number of sides (n)
3 14 15 16 17 8
Number of diagonals (d) 0 2519
b
On the basis of the above information, answer the following questions :
(1) By considering the pattern, the value of 'a' is :
(b) 14
(c) 16
(ii) By considering the pattern, the value of 'q' is :
(a) 16
(b) 19
(c) 20
(d) 22.
For a polygon, d and n are related as d= An? + 3n.
(i) The relations between 'd' and 'n' for a quadrilas oral and a hexegon are
(2) SA + 2B = 1; 12A + 2B = 3
(5) 94 + 3B = 0; 5A + 2B = 2
(d) 3A + 4B = 0; 8A + 5B = 3.
(iv) Solving the two equations of (iii), the correct values of A and B are :
1 3
1
(2) A=- BE
3
3
(b) A=
2
2
2
(c) A= B
(d) A=-
2
2' 2
() The number of sides in a polygon having consis
(a) 11
(b) 12
(d) 17.
9. Shreekala works in a house as a maid, She wanted to save some money for buying a TY Theinrican
-3A= 50)3A+B= 0; 12A + B = 3
3
2
2
2050
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