1.

चार समानुपाती पदों में मध्य पदों का गुणनफल 36 है। यदि बाह्य पदों में एकपद 3 हो, तो दूसरा बाह्य पद होगा-​

Answer»

SOLUTION

GIVEN

  • The product of the middle terms is 36 AMONG the four proportional terms.

  • ONE of the extreme term is 3

TO DETERMINE

The second extreme term

EVALUATION

Let the four proportional terms are a , b , c , d

Now it is given that the product of the middle terms is 36 among the four proportional terms.

One of the extreme term is 3

∴ a = 3 & bc = 36

We have to find the value of d

Since four proportional terms are a , b , c , d

\displaystyle \sf{ \frac{a}{b}  =  \frac{c}{d} }

\displaystyle \sf{  \implies \: ad = bc }

\displaystyle \sf{  \implies \: 3d =36 }

\displaystyle \sf{  \implies \: d =12}

Hence the required second extreme term

= 12

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