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The equation 2sin^3theta+(2lambda-3)sin^...

The equation `2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2lambda=0` has exactly three roots in `(0,2pi)` , then `lambda` can be equal to 0 (b) 2 (c) 1 (d) `-1`

A

0

B

`(1)/(2)`

C

`1`

D

`-1`

Text Solution

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The correct Answer is:
A, C, D
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ARIHANT MATHS-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (More Than One Correct Option Type Questions)
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  2. The number of integral values of a for which the system of linear equa...

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  3. The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2la...

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  4. If x+y=2pi//3 and sin x//siny=2, then the

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  7. If x+y=(4pi)/(3) and sin x = 2 sin y , then

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  8. The number of solutions of the equations y=1/3[sin theta+[sin theta +[...

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  9. If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi], (where ,[.] denotes th ...

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  10. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

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  12. Find the number of solution of theta in [0,2pi] satisfying the equatio...

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  18. The values of alpha for which the equation alpha^2/(1-tan^2x)=(sin^2...

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