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If the expression [m x-1+(1//x)] is non-...

If the expression `[m x-1+(1//x)]` is non-negative for all positive real `x ,` then the minimum value of `m` must be `-1//2` b. `0` c. `1//4` d. `1//2`

A

`-(1)/(2)`

B

0

C

`(1)/(4)`

D

`(1)/(2)`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
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  2. If a, b, c are in A.P. and if (b-c)x^(2)++(c-a)x+a-b=0and2(c+a)x^(2)+(...

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  3. If the expression [m x-1+(1//x)] is non-negative for all positive real...

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  4. The set of values of p for which the roots of the equation 3x^(2)+2x+p...

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  5. Let alpha and beta, be the roots of the equation x^2+x+1=0. The equati...

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  6. If p and q are the roots of x^2 + px + q = 0, then find p.

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  7. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

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  8. If two equation a(1) x^(2) + b(1) x + c(1) = 0 and, a(2) x^(2) + b(2) ...

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  9. The value of p for which the difference between the roots of the equat...

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  12. If 7^(log 7(x^(2)-4x + 5))=x - 1, x may have values

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  13. If alpha, beta are roots of ax^(2) + bx +c =0, then the equatin whose...

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  14. For the equation |x^2|+|x|-6=0 , the sum of the real roots is 1 (b) 0...

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  15. Q. Two students while solving a quadratic equation in x, one copied th...

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  16. If 8, 2 are roots of the equation x^2 + ax + beta and 3, 3 are roots o...

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  17. If one root of x^(2) - x - k = 0 is square of the other, then k =

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  18. If a and b are the odd integers, then the roots of the equation, 2ax^2...

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  19. Find the values of p for which both the roots of the equation 4x^2 - 2...

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  20. The value of 'c' for which |alpha^(2) - beta^(2)| = 7//4, where alpha ...

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