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Special Determinants

A b c + b a c...

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A b c + b a c = d a d c .find the value of a b c d

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Q. The least value of

f (x) = | x - a | + | x - b | + | x - c | + | x - d |

a < b < c < d

are fixed real numbers, is

x = \frac{a - b}{a + b + c + d} = \frac{b - c}{a + b + c + d} = \frac{c - d}{a + b + c + d} = \frac{d - a}{a + b + c + d}

x^{3}

Factorize $(a^{2} - b^{2}) (c^{2} - d^{2}) - 4 a b c d$

Q. Least value of the function

f (x) = | x - a | + | x - b | + | x - c | + | x - d |

a < b < c < d

are fixed real numbers &

x

takes arbitary values, is

Factorise $2 (a b + c d) - a^{2} - b^{2} + c^{2} + d^{2}$

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