The equations x - t -4- y - t 2-4 representsA- A circleB- A parabolaC- An ellipseD- A hyperbola

The correct option is B A parabolaEliminating t, we get 16x^2=4y ⇒ x^2=1/4 y, which is a parabola. ...

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Four Common Forms of Parabola Equation

The equations...

Question

The equations $x = \frac{t}{4}, y = \frac{t^{2}}{4}$ represents

A circle

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A parabola

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An ellipse

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A hyperbola

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Solution

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The equation $16 x^{2} + y^{2} + 8 x y - 74 x - 78 y + 212 = 0$ represents

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2 x^{2} + 2 y^{2} + 4 x + 8 y + 15 = 0

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