by shivamtripathi22 | May 28, 2022 | Uncategorized
(Q). Let Kₙ denotes the number of triangles which can b formedusing the vertices of a regular polygon of ‘n’ sides. Which one of the following could be the value of Pₙ₊₁ – Pₙ₋₁? (a) 194 (b) 195 (c)196 (d)...
by shivamtripathi22 | May 28, 2022 | Uncategorized
(Q). Consider ‘n’ points in a plane, if number of heptagon is equal to number of octagons then find the number of triangles that can be drawn from these n points. Solution:- number of heptagon = number of octagon ⟹ ⁿC₇ = ⁿC₈ Hence n = 7 + 8 = 15 ∴ number...
by shivamtripathi22 | May 28, 2022 | Uncategorized
(Q). Find the number of non-congruent rectangles on a chess board.Solution:-Here we need non-congruent rectangles means every rectangle should have unique pair of length and breadth i.e. no two rectangles should have same length and breadth.Hence dimension (a, b)...
by shivamtripathi22 | May 28, 2022 | Uncategorized
(Q). Consider three set of parallel lines in a plane containing ‘x’, ‘y’, ‘z’ parallel lines respectively. What is the highest number of parallelograms that can be formed with these set of parallel lines?Solution:-Consider pair of...
by shivamtripathi22 | May 6, 2022 | Uncategorized
(Q). The sides AB, BC, CA of a triangle ABC have 4, 5 and 6 interior points respectively on them. Find the number of triangles that can be constructed using given interior points as vertices? Solution:- Total number of points = 4 + 5 + 6 = 15 if none of them are...
