If 3x^(2)+4kx+1 gt 0 for all real values...

If `3x^(2)+4kx+1 gt 0` for all real values of x, then k lies in the interval

A

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

B

`((-1)/(4), (1)/(4))`

C

`[(-sqrt(3))/(2), (sqrt(3))/(2)]`

D

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

लिखित उत्तर

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Recommended Questions

If 3x^(2)+4kx+1 gt 0 for all real values of x, then k lies in the inte...
Text Solution
|
if for all real value of x,(4x^(2)+1)/(64x^(2)-96x.sin a+5)<(1)/(32) ,...
Text Solution
|
Find the values of k for which the roots are real and equal in t...
Text Solution
|
If x is real then the value of (x^(2)-3x+4)/(x^(2)+3x+4) lies in the i...
Text Solution
|
If "log"(4)(3x^(2) +11x) gt 1, then x lies in the interval
Text Solution
|
IF x^2 +6x - 27 gt 0 -x^2 +3x +4>0 then x lies in the interv...
Text Solution
|
IF x is real then the value of ( x ^2 - 3x +4)/( x^2 +3x +4) ...
Text Solution
|
If x is real, then the value of (x^(2)-3x+4)/(x^(2)+3x+4) lies in the ...
Text Solution
|
If x^(2) +4 ax +2 gt 0 for all values of x, then a lies in the interva...
Text Solution
|