If a-bx- b-cy- c-a2- then xyz is

The correct option is B 5/3 [ ( 125)^x = 3125 ⇒( 5^3)^x = ( 5 )^5; ⇒5^3x = 5^5⇒ 3x = 5 ⇒ x = 5/3 ] ...

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Standard XII

Mathematics

Harmonic Mean

if a=bx, b=cy...

Question

if a = b $^{x}$ , b = c $^{y}$ , c = a $^{z}$ , then xyz is

3/5

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5/3

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1/4

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1/5

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Solution

The correct option is B
5/3

$\begin{matrix} {(125)}^{x} = 3125 \Rightarrow {(5^{3})}^{x} = {(5)}^{5} \Rightarrow 5^{3 x} = 5^{5} \Rightarrow 3 x = 5 \Rightarrow x = \frac{5}{3} \end{matrix}$

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I didn't understand this part in my last doubt. Can u please explain..
⇒ bx / (a2 - b2) - cy / (a2 - b2) = 1 / (a+b)

⇒ bx / (a - b) - cy / (a - b) = 1

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if a = bx , b = cy , c = az , then xyz is

The correct option is B 5/3 (125)x=3125⇒(53)x=(5)5⇒53x=55⇒3x=5⇒x=53

if a = b $^{x}$ , b = c $^{y}$ , c = a $^{z}$ , then xyz is

The correct option is B
5/3

$\begin{matrix} {(125)}^{x} = 3125 \Rightarrow {(5^{3})}^{x} = {(5)}^{5} \Rightarrow 5^{3 x} = 5^{5} \Rightarrow 3 x = 5 \Rightarrow x = \frac{5}{3} \end{matrix}$