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AP EAMCET · Maths · Straight Lines

The distance of the point 1,2 from the line x+y+5=0 measured along the line parallel to 3x-y=7 is equal to

  1. A 410
  2. B 40
  3. C 40
  4. D 220
Verified Solution

Answer & Solution

Correct Answer

(C) 40

Step-by-step Solution

Detailed explanation

Let the equation of the line parallel to 3x-y=7 be 3x-y=λ. Since, it passes through 1,2, this point will satisfy the equation 3x-y=λ. ∴ 3-2=λ ⇒λ=1 So, the line is 3x-y=1. Now, x+y+5+3x-y=0+1⇒4x=-4⇒x=-1. Putting in x+y+5=0, we get…