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Question

Equation of line(s) passing through (0, -2) which is/are equally inclined to the coordinate axes will be

A
y = x-2
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B
y = -x+2
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C
y = x-1
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D
y = -x-2
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Solution

The correct options are
A y = x-2
D y = -x-2
As line passes through (0, -2), the Y-intercept = -2.
Also, the line is equally inclined to the coordinate axes.
∴ θ = 45° or 135°.
⟹ slope, i.e., m = 1 or m = -1.
Therefore, y = x-2
or y = -x-2

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