Least number of changes for the expression $a x^{2} + b x y + c y^{2} + d x + e y + f$ to be symmetric in x & y

a = b, c = d

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b = c, d = e

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a = c, d = e

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a = f, b = e, c = d

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Solution

The correct option is C $a = c, d = e$
(C) $a = c, d = e$
The expression reduces to $a x^{2} + b x y + a y^{2} + d x + d y + f$ which is symmetric in 'x' and 'y'.

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Similar questions

(A x + B y) + (C x - D y) = E x - F

\frac{b}{a} = \frac{c}{b} = \frac{d}{c} = \frac{e}{d} = \frac{f}{e}

\frac{b}{a} = \frac{c}{b} = \frac{d}{c} = \frac{e}{d} = \frac{f}{e}

(\frac{a}{b} + \frac{c}{d}) + \frac{e}{f} = \frac{a}{b} + (\frac{c}{d} + \frac{e}{f})

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