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If theta in [0, 5pi] and r in R such tha...

If `theta in [0, 5pi]` and `r in R` such that `2 sin theta = r^(4) -2r^(2) +3` then the maximum number of values of the pair `(r, theta)` is ______.

A

6

B

8

C

10

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. The largest positive solution of 1+"sin"^(4) x = "cos"^(2) 3x " in " [...

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

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  3. If theta in [0, 5pi] and r in R such that 2 sin theta = r^(4) -2r^(2) ...

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

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

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

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

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  8. If 32"tan"^(8)theta" = 2"cos"^(2) alpha- 3"cos" alpha " and "3"cos" 2 ...

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  9. The general value of theta satisfying tantheta tan(120^@-theta) tan(12...

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  10. The solution of the equation "log"("cos"x) "sin" x + "log"("sin"x) "...

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  11. The number of solutions of the equation tanx+secx=2cosx lying in the i...

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  12. One root of the equation "cos" theta-theta + (1)/(2) = 0 lies in the i...

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  13. If "sin" (pi "cos" theta) = "cos" (pi "sin" theta), then which one fo ...

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  14. If "2sec" (2alpha) = "tan" beta + "cot"beta, then one of the value of ...

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  15. The values of k for which the equation sin^4 x+cos^4 x+sin2x+k=0 posse...

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  16. "tan"|x| = |"tan" x|, if

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  17. The number of solution of the equation |sin x|=|cos 3x| in [-2pi,2pi] ...

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  18. If sin x cos x cos 2x = lambda has a solution, then lambda lies in the...

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  19. If "sin "3theta = 4"sin" theta("sin"^(2) x-"sin"^(2)theta), theta ne n...

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  20. If sin 2x cos 2x cos 4x=lambda has a solution then lambda lies in the...

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