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09 Nov 2016, 01:36
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(ex 20) (function) In(on) the xy coordinate plane, what is the area of a circle K?
1) The circle has (2,1) as its center
2) The circle passes through a point (3,4)
==>In the original condition, since the circle is on the coordinate plane, there are 3 variables (the center (a,b)) and becomes the radius r), so E is highly likely to be the answer. Through 1) & 2), you get the radius r=√(〖(2-3)〗^2+〖(1-4)〗^2 )=√(1+9)=√10, and the area of the circle is π(√10)^2=10π. Since the answer is unique, it is sufficient. The answer is C.
Answer: C
1) The circle has (2,1) as its center
2) The circle passes through a point (3,4)
==>In the original condition, since the circle is on the coordinate plane, there are 3 variables (the center (a,b)) and becomes the radius r), so E is highly likely to be the answer. Through 1) & 2), you get the radius r=√(〖(2-3)〗^2+〖(1-4)〗^2 )=√(1+9)=√10, and the area of the circle is π(√10)^2=10π. Since the answer is unique, it is sufficient. The answer is C.
Answer: C
10 Nov 2016, 01:18
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There is an arithmetic sequence An where n is a positive integer such that An+1=An+3, what is the value of A10?
1) A1=3.
2) A3+A6=27
==>In the original condition, there are 2 variables (An+1, An), and 1 equation (An+1=An+3), so D is highly likely to be the answer. 1)=2), so you get A10=30, hence unique, and sufficient. The answer is D.
Answer: D
1) A1=3.
2) A3+A6=27
==>In the original condition, there are 2 variables (An+1, An), and 1 equation (An+1=An+3), so D is highly likely to be the answer. 1)=2), so you get A10=30, hence unique, and sufficient. The answer is D.
Answer: D
11 Nov 2016, 01:06
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If x/300=y/100, x=?
1) x+y=400
2) y=100
==>In the original condition, there are 2 variables (x,y) and 1 equation (x/300=y/100), so D is highly likely to be the answer. Hence 1)=2), the remainder of both is x=300, so it is unique, and sufficient. The answer is D.
Answer: D
1) x+y=400
2) y=100
==>In the original condition, there are 2 variables (x,y) and 1 equation (x/300=y/100), so D is highly likely to be the answer. Hence 1)=2), the remainder of both is x=300, so it is unique, and sufficient. The answer is D.
Answer: D
