Q. 583.5( 2 Votes )

If ax2 + 2hxy + by2 + 2gx + 2fy + c = 0, then show that

Answer :

Given: ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 …(i)

Differentiating the above with respect to x, we get





…(ii)


Now, we again differentiate eq (i) with respect to y, we get





…(iii)


Now, multiplying Eq. (ii) and (iii), we get






Hence Proved


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