Question
Two positions of a dice are shown below. When number 1
is on the top, what number will be at the bottom?Solution
Number 1 is common to both the positions of the dice. We assume the dice in fig. (ii) to be rotated so that 1 remains on the RHS face (i.e. face II as per activity 1) and the numbers 5 and 3 move to the faces hidden behind 2 and 4 respectively (in fig. (i). Then, clearly 3 lies opposite 4. Hence, when 4 is at the bottom then 3 mist lie on the top.
Find the area of the triangle formed by the lines whose equations are 2Y – x = 5, y + 2x = 7 and Y – x = 1
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