**Type – I D When Slopes of Lines are Given**

**Problems Shown in Red Colour are for Last Minute Revision (LMR)**

**ALGORITHM :**

1. Locate slopes m_{1} and m_{2} of the two lines.

2. Use y = mx form to find equations of the two lines.

3. Write equations of lines in the form u = 0 and v = 0. Find u.v = 0.

4. Simplify the L.H.S. of joint equation.

### Problems For Practice

- Find the joint equation of a pair of lines through the origin having slopes 1 and 3.
- Find the joint equation of a pair of lines through the origin having slopes 4 and -1.
- Find the joint equation of a pair of lines through the origin having slopes 2 and –
^{1}/_{2}. - Find the joint equation of a pair of lines through the origin having slopes
^{1}/_{3 }and –^{1}/_{2}. - Find the joint equation of a pair of lines through the origin having slopes (1 +
_{√3}) and (1 –_{√3})

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