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Two straight lines l and m pass through the point (1, 1). Slope of l
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Updated on: 02 Dec 2024, 23:34
Updated on: 02 Dec 2024, 23:34
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Question Stats:
50% (01:45) correct
50% (01:36) wrong based on 4 sessions
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Two straight lines \(\ell\) and \(m\) pass through the point (1, 1). Slope of line l passing through the point (0, a) is less than the slope of the line m that passes through the point (0, b)
Quantity A |
Quantity B |
\(a\) |
\(b\) |
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Re: Two straight lines l and m pass through the point (1, 1). Slope of l
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02 Dec 2024, 23:13
02 Dec 2024, 23:13
2
i dont know why the answer is option c which is both quantities are equal
slope of line L passing through (1,1) and (0,a) is less than the slope of the line M passing through (1,1) and (0,b)
slope formula is given by (y1-y2)/(x1-x2)
according to the condition (1-a) < (1-b) so a>b
option A should be the right answer
correct me if im wrong
slope of line L passing through (1,1) and (0,a) is less than the slope of the line M passing through (1,1) and (0,b)
slope formula is given by (y1-y2)/(x1-x2)
according to the condition (1-a) < (1-b) so a>b
option A should be the right answer
correct me if im wrong
Re: Two straight lines l and m pass through the point (1, 1). Slope of l
[#permalink]
02 Dec 2024, 23:31
02 Dec 2024, 23:31
1
Expert Reply
We know that the slope of a line joining points \(\left(x_1, x_2\right) \&\left(y_1, y_2\right) is \frac{y_2-y_1}{x_2-x_1}\)
Using above formula, we get the slope of line l passing through points (1,1) &(0, a) as \(\frac{a-1}{0-1}=-a+1\) and the slope of line m passing through (1,1) &(0, b) as \(\frac{b-1}{0-1}=-b+1\)
We are given that the slope of line l is less than the slope of line m , so we get \(-a+1<-b+1 \Rightarrow a>b\)
Hence column A quantity is greater than column B, so the answer is (A).
Using above formula, we get the slope of line l passing through points (1,1) &(0, a) as \(\frac{a-1}{0-1}=-a+1\) and the slope of line m passing through (1,1) &(0, b) as \(\frac{b-1}{0-1}=-b+1\)
We are given that the slope of line l is less than the slope of line m , so we get \(-a+1<-b+1 \Rightarrow a>b\)
Hence column A quantity is greater than column B, so the answer is (A).
