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16 Jan 2023, 10:32
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
38% (02:40) correct
62%
(02:17)
wrong
based on 26
sessions
History
Date
Time
Result
Not Attempted Yet
A line passes through (1,p), is its slope greater than 0?
(1) The line passes through (p,13)
(2) The line passes through (p,-1)
(1) The line passes through (p,13)
(2) The line passes through (p,-1)
16 Jan 2023, 14:30
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Bunuel
Statement 1
(1) The line passes through (p,13)
Slope =\(\frac{ y_2 - y_1 }{ x_2 - x_1}\) = \(\frac{13 - p }{ p - 1}\)
For certain values of p, the slope is greater than 0. For p = 13, the slope = 0
The statement is not sufficient.
Statement 2
(2) The line passes through (p,-1)
Slope =\(\frac{ y_2 - y_1 }{ x_2 - x_1}\) = \(\frac{ -1-p }{ p - 1}\)
For certain values of p, the slope is greater than 0. For p = -1, the slope = 0
The statement is not sufficient.
Combined
The statements combined
\(\frac{ -1-p }{ p - 1}\) = \(\frac{13 - p }{ p - 1}\)
Solving we can get an unique value of p. Sufficient.
Option C
