**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**

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