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The Equation of the lines Passing through the Origin and having Slopes 3 and 1/3 is

Answer:-

  1. 3x2 + 8xy – 3y2 = 0 
  2. 3y2 + 8xy – 3x2 = 0
  3. 8xy + 3x2 – 3y2 = 0
  4. 3x2 + 8xy + 3y2 = 0 

Option 1 – 3x2 +8xy – 3y2 = 0

Solution 

Here, a = 3, b = -⅓ 

According to line, y = 3x 

y = -1/3x 

On multiplying both the sides, we get 

(Y-3x)(3y+x) = 0

3x2 + 8xy – 3y2 = 0