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Quadratic Polynomial

If a, b, and ...

Question

If a, b, and c are nonzero real numbers such that ab = 2 (a + b), bc = 3( b + c) and ca = 4 (c + a) then the value of 5a + 7b + c is :

A

$18$

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B

$72$

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C

$108$

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D

$120$

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Solution

The correct option is B
$72$

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Similar questions

a, b

c

are non zero real numbers such that

a b = 2 (a + b) b c = 3 (b + c)

c a = 4 (c + a)

then the value of

5 a + 7 b + c

a, b

c

are nonzero real numbers such that

a b = 2 (a + b), b c = 3 (b + c)

c a = 4 (c + a)

then the value of

5 a + 7 b + c

a, b, c

are nonzero real numbers such that

∣ ∣ ∣ ∣ \begin{matrix} b c & c a & a b c a & a b & b c a b & b c & c a \end{matrix} ∣ ∣ ∣ ∣ = 0

Q. If a, b, & c are nonzero real numbers, then

∣ ∣ ∣ ∣ ∣ \begin{matrix} b^{2} c^{2} & b c & b + c c^{2} a^{2} & c a & c + a a^{2} b^{2} & a b & a + b \end{matrix} ∣ ∣ ∣ ∣ ∣

a, b, c

are real numbers such that

\frac{a b}{a + b} = \frac{1}{3}, \frac{b c}{b + c} = \frac{1}{4}

\frac{c a}{c + a} = \frac{1}{5}

, then the value of

\frac{a b c}{a b + b c + c a}

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