AP EAMCET2009MathematicsPair 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
Options
- Asquare but not rhombus
- Brhombus
- Cparallelogram
- Drectangle but not a square
Correct answer
C. parallelogram
Step-by-step solution
Given pair of lines are x^2-3 x y+2 y^2=0 and array ll & x^2-3 x y+2 y^2+x-2=0 . & (x-2 y)(x-y)=0 array aligned & and (x-2 y+2)(x-y-1)=0 & x-2 y=0, x-y=0 and x-2 y+2=0, & x-y-1=0 aligned Since, the lines x-2 y=0, x-2 y+2=0 and x-y=0, x-y-1=0 are parallel. Also, angle between x-2 y=0 and x-y=0 is not 90^ . It is a parallelogram.