The equation y^2-x^2+6 x-9=0 represents - Vidyadip

MCQ

The equation $y^2-x^2+6 x-9=0$ represents

✓
a pair of straight lines
B
a circle
C
a parabola
D
an ellipse

✓

Answer

Correct option: A.

a pair of straight lines

(a) : $y^2=x^2-6 x+9$
$\Rightarrow y^2=(x-3)^2 \Rightarrow(y-x+3)(y+x-3)=0$
$\Rightarrow y-x+3=0$ and $y+x-3=0$

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