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20 Jul 2020, 01:09
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In the figure above, segments PQ and QR are each parallel to one of the coordinate axes. What is the ratio of the length of QR to PQ?
(1) The slope of the line that passes through points P and R is 0.75.
(2) The coordinates of point P are (4, 2)
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20 Jul 2020, 01:32
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Statement 1: Slope is nothing but the ratio of y2-y1/x2-x1 also known as rise/run ratio or the two legs of the right angle triangle given in the question.
Slope = Y2-y1 (PQ) / x2-x1 (QR)
0.75 = PQ/QR
3/4 = PQ/QR
PQ:QR = 3:4
(Sufficient)
Statement 2: slope is not given we can have infinite values of slope from point P. (Insufficient)
IMO A
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Slope = Y2-y1 (PQ) / x2-x1 (QR)
0.75 = PQ/QR
3/4 = PQ/QR
PQ:QR = 3:4
(Sufficient)
Statement 2: slope is not given we can have infinite values of slope from point P. (Insufficient)
IMO A
Posted from my mobile device
20 Jul 2020, 02:47
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IMO A.
Slope is basically rise of y with respect to x.
(y2-y1)/(x2-x1)= slope.
So knowing the slope, we know the ratio QP/QR.
A is sufficient.
B gives the coordinate of P. Since the line doesn't pass thru origin, we can't be sure of the slope from just one point.
B is not sufficient.
Answer A
Slope is basically rise of y with respect to x.
(y2-y1)/(x2-x1)= slope.
So knowing the slope, we know the ratio QP/QR.
A is sufficient.
B gives the coordinate of P. Since the line doesn't pass thru origin, we can't be sure of the slope from just one point.
B is not sufficient.
Answer A
