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Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer.
Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting of any two elements of L, has a glb (Infimum) and a lub (Supremum), after that the poset (L, ≤) is known as a lattice. The poset in (i) is a lattice as for each pair of elements in it, there a glb and lub in the poset. Likewise poset in (ii) is as well a lattice. Poset of (iii) is as well a lattice.
The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+
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ABC is a right angled triangle in which ∠A = 900. Find the area of the shaded region if AB = 6 cm, BC=10cm & I is the centre of the Incircle of ?ABC. Ans: ∠A =90 0 BC
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If ABCD isaa square of side 6 cm find area of shaded region
need answers
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