(ii) No for 100 and 1; yes for 10. The fourth side x satisfies 11 – (5 + 2) < x < 11 + 5 + 2, meaning 4 < x < 18. (iii) Each side must be strictly less ...
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(i) Exactly 3 distinct cyclic edge orderings can be formed. (ii) If the 4 points form a convex hull: 1 is convex and 2 are self-intersecting. If 1 point is inside: 0 are convex, 3 are non-convex and 0 self-intersect. Class ...
Placing D inside △ABC yields a non-convex quadrilateral. In the region opposite vertex B or across segment AC, ABCD is convex. In the remaining four outer regions, ABCD is self-intersecting. class 9 maths ganita manjari part 2 chapter 12 question answer
Let the rectangle have dimensions X and Y. The vertical dividing line of height h gives C = (1/2)hx₂. Combining expressions A + C = (1/2)hX and B + C = (1/2)x₂Y yields the rectangle area XY = [2(A + ...
Scaling linear dimensions by factor k increases area by k²: 2² = 4 and 3² = 9. Yes, in each case exactly 4 or 9 congruent copies tile and perfectly fit into the scaled figure without gaps.