Home
Class 11
MATHS
If roots of the equation 2x^(2)-4x+2sin ...

If roots of the equation `2x^(2)-4x+2sin theta-1=0` are of opposite sign then `theta` belongs to

A

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

B

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

C

`((13pi)/6, (17pi)/6)`

D

`(0,pi)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

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

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|3 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -III (STRAIGHT OBJECTIVES TYPE QUESTIONS)|13 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

The set of values of p for which roots of the equation 3x ^(2) + 2x +p (p-1) =0 are of opposite sign is

If 0 lt theta lt pi/2 , the solution of the equation sin theta - 3 sin 2 theta + sin 3 theta = cos theta - 3 cos 2 theta + cos 3 theta is

The number of solution of the pair of equations 2sin^(2)theta-cos 2 theta=0, 2 cos^(2)theta-3sin theta=0 in the interval [0,2pi] is

If tan theta_(1), tan theta_(2) tan theta_(3) and tan theta_(4) are the roots of the equation x^(4) - x^(3) sin 2 beta + x^(2) cos 2 beta - x cos beta - sin beta = "0 then tan" (theta_(1) + theta_(2) + theta_(3) + theta_(4)) is equal to

The number of roots of the equation 2 sin^(2)theta + 3 sin theta + 1 = 0 in (0, 2pi) is

If x_(1),x_(2),x_(3) are the real roots of the equation x^(3)-x^(2)tantheta+xtan^(2)theta+tantheta=0and0ltthetalt(pi)/(4) then the value of tan^(-1)x_(1)+tan^(-1)x_(2)+tan^(-1)x_(3)" at "theta=(pi)/(12) is