Let $a$ and $b$ be non-zero real numbers. Then,the equation $(a x^2+b y^2+c)(x^2-5 x y+6 y^2)=0$ represents

  • A
    four straight lines,when $c=0$ and $a, b$ are of the same sign
  • B
    two straight lines and a circle,when $a=b$,and $c$ is of sign opposite to that of $a$
  • C
    two straight lines and a hyperbola,when $a$ and $b$ are of the same sign and $c$ is of sign opposite to that of $a$
  • D
    a circle and an ellipse,when $a$ and $b$ are of the same sign and $c$ is of sign opposite to that of $a$

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