42. Duplex represented as D D(X) = X 2 D(XY) = 2 x X x Y D(XYZ) = (2 x X x Z) + Y 2 D(ABCD) = (2 x A x D) + (2 x B x C) D(ABCDE) = (2 x A x E) + (2 x B x D) + C 2
46. Find square root of 2704 2 7 2 0 0 4 = 52 square root of 2704 is 52
47. Find square root of 2116 2 1 5 1 3 6 = 46 square root of 2116 is 46
48. Find square root of 1444 1 4 5 4 0 4 = 39 (wrong) 1 4 5 4 6 4 = 38 Square root of 1444 is 38
49. Find square root of 3000 3 0 5 0 0 0 = 55 3 0 5 0 10 0 = 54 square root of 3000 is 54.xx
50. x co-efficient = diff of y co-ordinates y co=efficient = diff of x co-ordinates substitute any one point to the equation to get the constant
51. Find eq of line passing through the points (9,7) and (5,2) Step 1: (7-2)x – (9-5)y 5x-4y Step 2: Sub any one point in the above eqn 5(9) - 4(7) = 17 Hence, the req. eqn is 5x-4y=17
52. Find eq of line passing through the points (2,-3) and (4,-7) Step 1: (-3+7)x – (2-4)y 4x+2y 2x+y Step 2: Sub any one point in the above eqn 2(2) + (-3) = 1 Hence, the req. eqn is 2x+y=1