Joint Equation of Pair of Lines Type – I C  

When Lines are Forming Equilateral Triangle With x = k or y = k

Problems shown in RED Colour are for Last Minute Revision (LMR)

ALGORITHM :
1. Find angle made by the lines with positive direction of x-axis and calculate slopes m1 and m2 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.
4. Find u.v = 0.
5. Simplify the L.H.S. of joint equation.

Problems for Practice:

  1. Find the joint equation of the straight lines through the origin which forms the equilateral triangle with the straight line x = 1.
  2. Find the joint equation of the straight lines through the origin which forms the equilateral triangle with the straight line y = 2.

Solution

[pdf-embedder url=”https://hemantmore.org/assets/2016/12/Pair-of-Straight-Lines-Unit-I-C.pdf” title=”Pair of Straight Lines Unit I C”]

Back                           Next Topic