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2 years ago

15

Write three advantage of pranayam

1 answer:

Aleonysh [2.5K]2 years ago

8 0

Answer:

to strengthen the connection between your body and mind.

Explanation:

The goal of pranayama is to strengthen the connection between your body and mind. According to research, pranayama can promote relaxation and mindfulness. It's also proven to support multiple aspects of physical health, including lung function, blood pressure, and brain function.May

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If 2^x=3^y=12^z, show that 1÷z=1÷y+2÷x.....

Ostrovityanka [42]

Answer:

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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3 years ago