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Points to Remember
Number of octahedral voids = Number of atoms present in the close packed arrangement Number of tetrahedral voids = 2 x Number of octahedral voids = 2 x Number of ato..
Example:
Find at least 3 sets of values for the variables satisfying the equation. 2x+y=5 Express y in terms of x. y=5-2x Select three values of x, find corresponding values of y. x=0, y=..
Find at least 3 sets of values for the variables satisfying the equation. 2x+y=5 Express y in terms of x. y=5-2x Select three values of x, find corresponding values of y. x=0, y=..Suggested answer:
The intersection of the half planes 2x + y 3 and x - y 0 is shown as shaded region in the figure. Feasible region is an unbounded convex region at A (0, 3), Z = 6 (0) + 3 = 3 At B (1, 1), Z = 6(1) + 1 =..
The intersection of the half planes 2x + y 3 and x - y 0 is shown as shaded region in the figure. Feasible region is an unbounded convex region at A (0, 3), Z = 6 (0) + 3 = 3 At B (1, 1), Z = 6(1) + 1 =..Step 2:
We draw straight lines for the equation 2x+ y = 100 ...(2) x + y = 80 To determine two points on the straight line 2x + y = 100 Put y = 0, 2x = 100 x = 50 ..
We draw straight lines for the equation 2x+ y = 100 ...(2) x + y = 80 To determine two points on the straight line 2x + y = 100 Put y = 0, 2x = 100 x = 50 ..Question 10
Question: A point A is at a distance from the point (4, 3). Find the co-ordinates of point A, if its ordinate is twice of its abscissa. [3 Mark] Answer: Ordinate is y-co-ordinate and Abscissa is x co-ordinate. Let..
Question: A point A is at a distance from the point (4, 3). Find the co-ordinates of point A, if its ordinate is twice of its abscissa. [3 Mark] Answer: Ordinate is y-co-ordinate and Abscissa is x co-ordinate. Let..Block and Tackle
). Total upward pull is 4 x 1000 or 4000 N with an effort of 1000 N [Figure (c) above] In practice owing to the weight of the lower block and the friction between the pulley and the rope, the effort E needed to raise a load of 4000 N is more than 1000 N, say 1200 N. Figure shown below ill..
). Total upward pull is 4 x 1000 or 4000 N with an effort of 1000 N [Figure (c) above] In practice owing to the weight of the lower block and the friction between the pulley and the rope, the effort E needed to raise a load of 4000 N is more than 1000 N, say 1200 N. Figure shown below ill..Question 10
Where m = 2, n = 1, 12 = 2x + 6, 6 = 2y - 2 6 = 2x, 8 = 2y 3 = x, 4 = y Substituting the values of x, y in Co-ordinates of mid point of AC,..
Suggested answer:
. 120x + 100y = 1200 6x + 5y = 60 P 2 Q 2 is a line parallel to P 1 Q 1 and has one point 'M' which belongs to feasible region and farthest from the origin. If we take any line P 3 Q 3 parallel to P 2..
. 120x + 100y = 1200 6x + 5y = 60 P 2 Q 2 is a line parallel to P 1 Q 1 and has one point 'M' which belongs to feasible region and farthest from the origin. If we take any line P 3 Q 3 parallel to P 2..Question 5
Question: Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices of an isosceles right angled triangle. [3 Mark] Answer: Given that ABC is a triangle. If ABC is an isosceles D le, then AB = BC. ..
Question 4
Question: In the figure, ABCD is a parallelogram. P is a point on BC such that BP:PC = 1:2. DP produced meets AB produced at Q. If area of D CPQ = 20 cm 2 , find [3 Mark] i. Area of D BPQ ii. Area of D CDP iii. Area of parallelogram ABCD. ..
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