MCQ
Which of the following equations represents a parabola:
- A(x - y)3 = 3
- B$\frac{\text{x}}{\text{y}}-\frac{\text{y}}{\text{x}}=0$
- C$\frac{\text{x}}{\text{y}}+\frac{\text{4}}{\text{x}}=0$
- D(x + y)2 + 3 = 0
Solution:
We know that the general equation of parabola is
y2 = 4ax
y2 = -4ax
x2 = 4ax
x2 = -4ax
From option (a),
(x - y)3 = 3
It is not represent the parabola.
From option (b),
$\frac{\text{x}}{\text{y}}-\frac{\text{y}}{\text{x}}=0$
x2 = y2
It is not represent the parabola.
From option (c),
$\frac{\text{x}}{\text{y}}+\frac{\text{4}}{\text{x}}=0$
x2 + 4y = 0
x2 = -4y
So, this is represented the parabola.
From option (d),
(x + y)3 + 3 = 0
It is not represent the parabola.
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