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If x^(2)+6x-27 gt 0 and x^(2)-3x-4 lt 0 ...

If `x^(2)+6x-27 gt 0 and x^(2)-3x-4 lt 0` , then :

A

`x gt 3`

B

`x lt 4`

C

`3 lt x lt 4`

D

`x=3(-1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 4
  1. If x^(2)+6x-27 gt 0 and x^(2)-3x-4 lt 0 , then :

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  2. The values of x which satisfy both the inequations x^(2)-1 le 0 and x^...

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  3. If x is an integer satisfying x^(2)-6x+5 le 0 " and " x^(2)-2x gt 0, t...

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  4. The greatest negative integer satisfying x^(2)-4x-77 lt 0 and x^(2) gt...

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  5. If 4 le x le 9 then the expression (x-4) (x-9) is

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  6. The expression ax^(2)+bx+c has the same sign as of a if

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  7. The value of x^(2)+2bx+c is positive if

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  8. If x^(2)+2ax+10 -3a gt 0 for all x in R, then

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  9. The expression y=ax^(2)+bx+c has always the same sign as of a if

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  10. If the graph of the function y=16x^(2)+8(a+5) x-7a-5 is strictly above...

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  11. Let f(x) be a quadratic expression possible for all real x. If g(x)=...

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  12. If x^(2)-2 (4 lamda-1) x+ (15 lamda^(2)-2 lamda -7) gt 0 for all real ...

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  13. If the equation x^(3 )-3x+a=0 has distinct roots between 0 and 1, then...

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  14. If c gt0 and 4a+clt2b then ax^(2)-bc+c=0 has a root in the interval

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  15. If y= tan x cot 3x, x in R, then

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  16. If a lt b lt c lt d, then the quadratic equation (x-a) (x-c) +2(x-b) (...

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  17. Let a,b,c in R and a ne 0. If alpha is a root a^(2) x^(2) +bx+c=0, bet...

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  18. If the roots of the equation x^(2)+2ax+b=0 are real and distinct and t...

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  19. The middle point of the interval in which x^(2)+2 (sqrt(x))^(2)-3 le 0...

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  20. If x in R , the least value of the expression (x^(2)-6x+5)/(x^(2)+2...

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