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  1. If the average of x and 1 / x (x ≠ 0) is M, then the average of x2 and 1is :

    1. 1 – M²
    2. 1 – 2M
    3. 2M² – 1
    4. 2M² + 1
Correct Option: C

On the basis of given in question ,

x +
1
x= M
2

⇒ x + 1=2M
x

Required average =x² +
1
2

Required average = x +
1
²- 2
x
2

Required average = 4M² - 2=2M² - 1
2



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