Type – I D  When Slopes of Lines are Given

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

ALGORITHM :

1. Locate 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. Find u.v = 0.
4. Simplify the L.H.S. of joint equation.

Problems For Practice

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

 

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