AP EAMCET202018 Sep 2020Morning ShiftMathematicsPair of LinesActual
The combined equation of the lines passing through the origin and having slopes ( 2 3 ) and ( -2 3 ) is
Options
- A(2 x^2-9 y^2=0 )
- B(4 x^2-x y-9 y^2=0 )
- C(4 x^2-9 y^2=0 )
- D(4 x^2+x y-9 y^2=0 )
Correct answer
C. (4 x^2-9 y^2=0 )
Step-by-step solution
The equation of lines passes through origin having slopes ( 2 3 ) and (- 2 3 ) are respectively (2 x+3 y=0 ) and (2 x-3 y=0 ), so combined equation is ( array rlrl & & (2 x-3 y)(2 x+3 y) & =0 & 4 x^2-9 y^2 & =0. array )