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TS EAMCET · Maths · Pair of Lines

The pairs of straight lines \(x^2-3 x y+2 y^2=0\) and \(x^2-3 x y+2 y^2+x-2=0\) form a

  1. A square but not rhombus
  2. B rhombus
  3. C parallelogram
  4. D rectangle but not a square
Verified Solution

Answer & Solution

Correct Answer

(C) parallelogram

Step-by-step Solution

Detailed explanation

Given pair of lines are \(x^2-3 x y+2 y^2=0\) and \(\begin{array}{ll} & x^2-3 x y+2 y^2+x-2=0 . \\ \therefore & (x-2 y)(x-y)=0 \end{array}\)…