Locus of the Points Equidistant From Two Intersecting Lines
On the same g...
Question
On the same graph paper. plot the graph of y=x-2, y=2x+1 and y=4 form x=-4 \ to 3
A
(i) passes through (-2,0), m=1. (ii) passes through (1,0), m=2. (iii) is a line segment, parallel to the X-axis, extends from x=-4 to x=3.
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B
(i) passes through (0,-2), m=1. (ii) passes through (0,1), m=2. (iii) is a line segment, parallel to the X-axis, extends from x=-4 to x=3.
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C
(i) passes through (0,-2), m=2. (ii) passes through (0,1), m=1. (iii) is a line segment, parallel to the X-axis, extends from x=-4 to x=3.
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D
(i) passes through (0,-2), m=1. (ii) passes through (0,1), m=2. (iii) is a line segment, parallel to the Y-axis, extends from x=-4 to x=3.
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Solution
The correct option is B (i) passes through (0,-2), m=1. (ii) passes through (0,1), m=2. (iii) is a line segment, parallel to the X-axis, extends from x=-4 to x=3. As shown in figure the first line passing through (0,−2) and on comapring line y=x−2 with y=mx+c where the slope m=1
and comparing the second line y=2x+1 where m=2 and passing through point (0,1)
and AS we can see in figure the line y=4 is parallel to X−axis