Home
Class 11
MATHS
If 2 sin ^(2) x + 3 sin x - 2 gt 0 and x...

If `2 sin ^(2) x + 3 sin x - 2 gt 0 and x^(2) - x - 2 lt 0` (x is measured in radians) then x lies in

A

`((pi)/6, (5pi)/6)`

B

`(-(5pi)/6)`

C

`(-1,2)`

D

`((pi)/6,2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -IV (MISCELLAENEOUS STRAIGHT OBJECTIVES TYPE QUESTIONS)|13 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)|53 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I LEVEL -II INTEGER TYPE QUESTIONS)|10 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

If 2 sin 2x - sin x = 0 , then x =

If sqrt(2) sin^2 x + (3sqrt(2) + 1) sin x + 3 gt 0 and x^2 - 7x + 10 lt 0 , then x lies in the interval

If sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x then x =

IF x^2 - 2x +3 gt 0 , 2x^2 + 4 x + 3 gt 0 then x lies in the interval

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

IF x^2 +6x - 27 gt 0 -x^2 +3x +4>0 then x lies in the interval

If 1+sin x sin ^(2)""(x)/(2) = 0 then x is