by shivamtripathi22 | Apr 24, 2022 | Uncategorized
(Q). A polygon has 65 diagonals then find its number of sides.Solution:-Let number of sides = n∴ number of vertices = n⟹ ⁿC₃ – n = 65⟹ = 65⟹ n(n-3) = 2×5×13 n(n-3) = 13(13 – 3) ∴ n = 13 ...
by shivamtripathi22 | Apr 24, 2022 | Uncategorized
(Q). Consider a square along with its 2 diagonal. How many triangle is formed by this...
by shivamtripathi22 | Apr 24, 2022 | Uncategorized
(Q). How many distinct triangle can be drawn with their with their vertices selected from 10 points, exactly 5 of which are collinear?Solution:-10 points could have given us ¹⁰C₃ triangles if no three of them are in a straight line, but as per question 5 of them are...
by shivamtripathi22 | Apr 19, 2022 | Uncategorized
1. How many distinct lines can be drawn through 10 points, no three of which are collinear? 2. How many straight lines can be drawn through 10 points, exactly 3 of which are collinear? 3. How many distinct lines can be drawn through 10 points, 5 of which are on a...
by shivamtripathi22 | Apr 19, 2022 | Uncategorized
(Q). What is the number of diagonals of a polygon with 15 sides?Solution:-Number of diagonals = ¹⁵C₂ – 15 = 105 – 15 = 90 ...
