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Question
The equation 16x2 + y2 + 8xy − 74x − 78y + 212 = 0 represents
Options
a circle
a parabola
an ellipse
a hyperbola
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Solution
a parabola
Comparing the given equation with ax2 + by2 + 2hxy + 2gx+2fy + c =0, we get:
\[a = 16, b = 1, h = 4\]
We have:
\[h^2 = 16 = ab\]
Thus, the given equation represents a parabola.
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