Type – I A  

When Separate Equations are Given

Problems Shown in RED colour are for last minute revision (LMR)

ALGORITHM: 
1. Write equations of lines in the form u = 0 and v = 0. 
2. Find u.v = 0.
3. Simplify the L.H.S. of joint equation. 

Examples for Practice

  1. Obtain the combined equation of the co-ordinate axes.
  2. Find the combined equation of the two lines whose separate equations are 3x -2y = 0 and  4x + y = 0.
  3. Find the combined equation of the two lines whose separate equations are 3x + 4y = 0 and 2x = 3y
  4. Find the combined equation of the lines whose separate equations are 3x – 2y + 1 = 0 and 4x – 3y + 5 = 0
  5. Find the combined equation of the lines whose separate equations are x + y = 3 and 2x + y – 1 = 0.
  6. Find the combined equation of the lines whose separate equations are x + 2y + 2 = 0 and 2x + 3y – 1 = 0.
  7. Find the combined equation of the lines whose separate equations are x + y = 3 and 2x + y -1 = 0.
  8. Find the combined equation of the lines whose separate equations are x – y = 0 and 2x + y -1 = 0.
  9. Find the combined equation of the lines whose separate equations are 3x + 2y -1 = 0 and x + 3y -2 = 0. (MSB Text)
  10. Find the combined equation of the lines whose separate equations are 2x+y = 0 and 3x-5y = 0. (MSB Text)
  11. Find the combined equation of the lines whose separate equations are x + 2y – 1 = 0 and 2x – 3y + 2 = 0. (MSB Text)

Solutions

Pair of Straight Lines Unit I A

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