AP EAMCET · Maths · Permutation Combination
If a polygon of sides has diagonals, then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
The number of segments obtained by joining n vertices of a n-sided polygon will be C2n out of which n will be the sides of the polygon. So, the number of diagonals will be C2n-n. i.e. C2n-n=560 ⇒nn-12-n=560⇒n2-3n-1120=0 ⇒n+32n-35=0 Hence, n=35
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