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Question

At what points does the line x4+y3=1 cut the x-axis and y-axis?

A
x-axis: (4,0) y-axis: (0,3)
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B
x-axis: (0,3) y-axis: (4,0)
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C
x-axis: (3,4) y-axis: (4,3)
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D
x-axis: (0,0) y-axis: (3,4)
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Solution

The correct option is B x-axis: (0,3) y-axis: (4,0)
If this line cut on x-axis then x=0x=0
y3=1y=3∴y−3=1⟹y=−3
Required point on x-axis is (0,3)(0,−3)
If this line cut on y-axis then y=0y=0
x4=1x=4∴x4=1⟹x=4
Required point on y-axis is (4, 0).

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