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Q)

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


( A ) an ellipse
( B ) a hyperbola
( C ) a parabola
( D ) a circle

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A)
It is a parabola h^2= ab. Or ∆= abc+2fgh -af^2-bg^2-ch^2 not equal to 0 ax^2+2hxy+by^2+2gx+2fy+c=0 16x^2+8xy+y^2-74x-78y+212=0 a=16; 2h=8 h=4; b=1; 2g=-74 g=-37 2f=-78 f= -39; c= 212 Put values in above condition It is a parabola
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