Equations of the line(s) which makes an angle of 45∘ with y axis and passing through the point (2,3) is
A
x−y+1=0
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B
x−2y+4=0
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C
x+y−5=0
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D
2x+y−7=0
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Solution
The correct options are Ax−y+1=0 Cx+y−5=0 Clearly, required line makes an angle 45∘ with x-axis and another possibility is 135∘. ∴ Slope, m=±1 Required line y−3=±(x−2) ⇒x−y+1=0orx+y−5=0