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PilotLPTM [1.2K]
3 years ago
5

22. The ability of the cricketer's joints having a wide range of movement has to do with which fitness factor needed for cricket

?
O speed
O Cardiovascular endurance
O Muscular strength
O Flexibility​
Health
1 answer:
slavikrds [6]3 years ago
3 0

<em>Hi,</em>

22. The ability of the cricketer's joints having a wide range of movement has to do with which fitness factor needed for cricket?

<em>O Flexibility​</em>

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If 2^x=3^y=12^z, show that 1÷z=1÷y+2÷x.....​
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Proof of \dfrac{1}{z}}=\dfrac{1}{y}+\dfrac{2}{x}  is shown below.

Explanation:

The given equation is

2^x=3^y=12^z

To prove : \dfrac{1}{z}=\dfrac{1}{y}+\dfrac{2}{x}

Proof : Let as assume,

2^x=3^y=12^z=k

2^x=k\Rightarrow 2=k^{\frac{1}{x}}    ...(1)

3^y=k\Rightarrow 3=k^{\frac{1}{y}}      ...(2)

12^z=k\Rightarrow 12=k^{\frac{1}{z}}    ...(3)

We know that

12=2\times 2\times 3

12=(2)^2\times 3

Using (1), (2) and (3), we get

k^{\frac{1}{z}}=(k^{\frac{1}{x}})^2\times k^{\frac{1}{y}}

k^{\frac{1}{z}}=k^{\frac{2}{x}}\times k^{\frac{1}{y}}

k^{\frac{1}{z}}=k^{\frac{2}{x}+\frac{1}{y}}

On comparing both sides, we get

\dfrac{1}{z}}=\dfrac{2}{x}+\dfrac{1}{y}

\dfrac{1}{z}}=\dfrac{1}{y}+\dfrac{2}{x}

Hence proved.

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