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Question

The equation 16x2+y2+8xy74x78y+212=0 represents


A

a circle

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B

a parabola

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C

an ellipse

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D

a hyperbola

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Solution

The correct option is B

a parabola


Comparing the given equation with ax2+by2+2hxy+2gx+2fy+c=0, we get :

a=16,b=1, h=4

We have :h2=16=ab

Thus, the given equation represents a parabola.


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