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Question

The equation of a straight line which makes an angle 45o with the x-axis with y-intercept 101 units is:

A
10x+101y=1
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B
101x+y=1
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C
x+y101=0
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D
xy+101=0
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Solution

The correct option is B xy+101=0
Let the equation be y=mx+c
where m is the slope and c is the y-intercept of the line.
It is given that the y intercept is 101.
Slope of line is m=tan(45o)=1
So the equation is y=x+101
it can be written as xy+101=0.
So option D is correct

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