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05 May 2017, 01:51
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B
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Difficulty:
45%
(medium)
Question Stats:
69% (02:13) correct
31%
(02:27)
wrong
based on 102
sessions
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Not Attempted Yet
In the xy-plane, a triangle T is formed by x-axis, y-axis, and the line with equation y=4x+k. If the area of the triangle T is smaller than 2, what is the range of k?
A. k<-4, 4<k
B. -4<k<4
C. k<-3, 5<k
D. -3<k<5
E. k<-2, 8<k
A. k<-4, 4<k
B. -4<k<4
C. k<-3, 5<k
D. -3<k<5
E. k<-2, 8<k
07 May 2017, 18:03
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==>Since y=4x+k passes through (0,k) and (-k/4,0), from the area of the triangle=(1/2)k(k/4)<2, you get k2<16, k2-16<0, (k-4)(k+4)<0, -4<k<4.
The answer is B.
Answer: B
The answer is B.
Answer: B
