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Question

Draw the graphs of the equations xy+1=0 and 3x+2y12=0. Determine the co-ordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

A
A(1,3),B(1,6) and C(4,0)
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B
A(2,5),B(1,6) and C(2,0)
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C
A(2,5),B(1,6) and C(2,0)
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D
A(2,3),B(1,0) and C(4,0)
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Solution

The correct option is D A(2,3),B(1,0) and C(4,0)
For equation xy+1=0 or x=y1, we have following points which lie on the line

Plug y=0,1 we get

x=01=1
x=11=0

Therefore, the required points are (1,0),(0,1).

For equation 3x+2y12=0 or y=123x2, we have following points which lie on the line

Plug x=0,4 we get

y=1202=6
y=12122=0

Therefore, the required points are (0,6),(4,0).


We can see from the graphs that points of intersection of the lines with the x–axis are (1,0),(2,3) and (4,0).



597700_234391_ans_1f47b33fad434c7bbf88d7154ee70042.jpg

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