## 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)