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The equation "sin"^(4) x -2 "cos"^(2) x ...

The equation `"sin"^(4) x -2 "cos"^(2) x + a^(2) =0` is solvable if

A

`-sqrt(3) le a le sqrt(3)`

B

`-sqrt(2) le a le sqrt(2)`

C

`-1 le a le 1`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. The solution set of the inequality "cos"^(2) theta lt (1)/(2), is

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  2. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

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  3. The equation "sin"^(4) x -2 "cos"^(2) x + a^(2) =0 is solvable if

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  4. Find the coodinates of the point of intersection of the curves y= cos ...

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  5. If 1/6 sinx, cosx, tan x are in G.P. then x=,

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  6. Find the minimum value of 2^("sin" x) + 2^("cos" x)

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  7. From the identity "sin" 3x = 3 "sin"x - 4"sin"^(3)x it follows that if...

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  8. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

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  9. Let alpha, beta be any two positive values of x for which 2"cos"x, |"c...

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  10. If underset(x in R)("Max") {5 "sin"x + 3 "sin" (x-theta)} =7, "then "t...

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  11. The most general value of theta for which "sin" theta-"cos" theta = ...

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  12. The number of points of intersection of the two curves y=2 sin x and...

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  13. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

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  14. The largest positive solution of 1+"sin"^(4) x = "cos"^(2) 3x " in " [...

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  15. The set of values of x in (-pi, pi) satisfying the inequation |4"sin" ...

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  16. If theta in [0,5pi]a n dr in R such that 2sintheta=r^4-2r^2+3 then th...

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  17. If rsintheta=3, r=4(1+sintheta) where 0&lt;=theta&lt;=2pi then theta e...

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  18. The solution set of the inequation "log"(1//2) "sin" x gt "log"(1//...

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  19. If the equation "sin" theta ("sin" theta + 2 "cos" theta) = a has a re...

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  20. The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution...

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