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Pacific Ring of FireThe Pacific Ring of Fire is a major area in the basin of the Pacific Ocean where many earthquakes and volcanic eruptions occur. In a large horseshoe shape, it is associated with a nearly continuous series of oceanic trenches, volcanic arcs, and volcanic belts and plate movements.Fault LinesLarge faults within the Earth's crust result from the action of plate tectonic forces, with the largest forming the boundaries between the plates. Energy release associated with rapid movement on active faults is the cause of most earthquakes.Positions of some countries in the Pacific ring of fire is shown in the square grid below.1. The distance between the point Country A and Country B is(a) 4 units(b) 5 units(c) 6 units(d) 7 units2. Find a relation between x and y such that the point (x,y) is equidistant from the Country C and Country D(a) x-y = 2(b) x+y = 2(c) 2x-y = 0(d) 2x+y = 23. The fault line 3x + y – 9 = 0 divides the line joining the Country P(1, 3) and Country Q(2, 7) internally in the ratio(a) 3 : 4(b) 3 : 2(c) 2 : 3(d) 4 : 34. The distance of the Country M from the x-axis is(a) 1 units(b) 2 units(c) 3 units(d) 5 units5. What are the co-ordinates of the Country lying on the mid-point of Country A and Country D?(a) (1, 3)(b) (2, 9/2)(c) (4, 5/2)(d) (9/2, 2) |
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Answer» 1. Correct answer is: (b) 5 units AB =\(\sqrt{(4-1)^2+(0-4)^2}\) =√(32+42 ) AB = 5 units 2. Correct answer is: (a) x-y = 2 (x-7)2 + (y-1)2=(x-3)2+(y-5)2 X2 + 49-14x+y2+1-2y = x2+9-6x+y2+25-10y Simplifying x-y=2 3. Correct answer is: (a) 3 : 4 3x + y – 9 = 0 Let R divide the line in ratio k:1 R( 2k+1/k+1, 7k+3/k+1) 3(2k+1/k+1) + (7k+3/k+1)-9 = 0 4k-3=0 K=3/4 3 : 4 4. Correct answer is: (c) 3 units Distance of M from X - axis = √(2-2)2+(0-3)2 = √9 = 3 units 5. Correct answer is: (b) (2, 9/2) ( (1+3)/2, (4+5)/2) = (4/2, 9/2) = (2, 9/2) |
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