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TS EAMCET · Maths · Straight Lines

The equation of a straight line passing through the point \((1,2)\) and inclined at \(45^{\circ}\) to the line \(y=2 x+1\) is

  1. A \(5 x+y=7\)
  2. B \(3 x+y=5\)
  3. C \(x+y=3\)
  4. D \(x-y+1=0\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(3 x+y=5\)

Step-by-step Solution

Detailed explanation

Let required equation of line is \(y=m x+c\) Since, angle between \(y=m x+c\) and \(y=2 x+1\) is \(\tan 45^{\circ}\)…