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Question

The equation of 2x2+3y28x18y+35=k represents
 



Solution

The correct option is C


Given equation, 2x2+3y28x18y+35k=0
Compare with ax2+by2+2hxy+2gx+2fy+c=0, we get
a=2, b=3, h=0, g=-4, f=-9, c=35-k
=abc+2fghaf2bg2ch2
=6(35-k)+0-162-48-0
=210-6k-210=-6k; =0, If k=0
So, that given equation is a point if k=0.

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