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If S is the set of all real `x` such that `(2x-1)/(2x^3+3x^2+x)` is `(-oo,-3/2)` b. `(-3/2,1/4)` c. `(-1/4,1/2)` d. `(1/2,3)` e. None of these

A

`(-oo, -(3)/(2))`

B

`(-(3)/(2), -(1)/(2))`

C

`(-1)/(2), 0)`

D

` ((1)/(2),2)`

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VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  2. If kx ^(2)-4x+3k + 1 gt 0 for atleast one x gt 0, then if k in S conta...

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  3. Sum of integral roots of the equation |x^2-x-6|=x+2 is

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  5. Consider the equation is real number x and a real parameter lamda, |x-...

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  6. If a and b are two distinct non-zero real numbers such that a -b =a/b=...

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  7. Let f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f...

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  8. If exactely two integers lie between the roots of equatin x ^(2) +ax-1...

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  9. If the minimum value of the quadratic expression y =ax ^(2)+bx +c is n...

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  10. The quadratic expression ax ^(2)+bx+c gt 0 AA x in R, then :

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  11. The sum of all possible integral value of 'k' for which 5x ^(2) -2k x...

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  12. If the equation x ^(2) +px+q=0, the coefficient of x was incorrectly w...

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  13. If x is real and x^(2) - 3x + 2 gt 0, x^(2)- 3x - 4 le 0, then which o...

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  14. If 5 ^(x) + (2 sqrt3) ^(2x) -169 le 0 is true for x lying in the inter...

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  15. Let f (x) =x ^(2) + ax +b and g (x) =x ^(2) +cx+d be two quadratic po...

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  16. The expression (1)/(sqrt(x+2sqrt(x-1)))+(1)/(sqrt(x-2sqrt(x-1))) simp...

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  17. if allvalues of x which satisfies the inequality log ((1//3))(x ^(2) +...

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  18. If (a, 0) is a point on a diameter of the circle x^(2)+y^(2)=4, then t...

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  19. Let x^2-px+q=0, where p in R,q in R have the roots alpha,beta such tha...

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  20. If a, b, c are positive numbers such that a gt b gt c and the equation...

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