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TS EAMCET · Maths · Straight Lines

If a straight line passes through the point (-5,4) and makes an intercept of length 25between the lines x+2 y+1=0 and x+2 y-1=0, then the equation of that line is

  1. A 5x+6y+1=0
  2. B 2x+3y-2=0
  3. C 3x+4y-1=0
  4. D 2x-y+14=0
Verified Solution

Answer & Solution

Correct Answer

(D) 2x-y+14=0

Step-by-step Solution

Detailed explanation

Let the slope of the line be m, then equation of line is y-4=m(x+5) ⇒mx-y+5m+4=0 Now, distance between given lines is d=1-(-1)5=25 Since d=intercept between line so, line is perpendicular to x+2y+1=0, hence m=2 So, equation of required line is 2x-y+14=0