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If the the equation a sin x + cos 2x=2a-...

If the the equation `a sin x + cos 2x=2a-7` possesses a solution, then find the values of a.

A

`a gt 6`

B

`2 le a le 6`

C

`agt 2`

D

none

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The correct Answer is:
B
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ML KHANNA-TRIGONOMETRICAL EQUATIONS -PROBLEM SET (3) (MULTIPLE CHOICE QUESTIONS)
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  2. If e^({(sin^2 x + sin^4x + sin^6x+...oo)loge2})satisfies the equation ...

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  3. If the the equation a sin x + cos 2x=2a-7 possesses a solution, then f...

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  4. The value of theta lying between theta = 0 and theta = pi/2 and satis...

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  5. The number of all triplets (a1,a2,a3) such that a1 + a2 cos 2x + a3 si...

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  6. The number of all possible 5-tuples (a(1),a(2),a(3),a(4),a(5)) such th...

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  7. The equation (cos p-1) x^(2) + cos p*x + sin p = 0 where x is a varia...

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  8. If A,B,C the angles of a triangle be in A.P. and satisfy the relations...

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  9. The number of solution(s) of 2cos^(2)(x/2)sin^(2)x=x^(2)+1/x^(2), 0 le...

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  11. One value of theta which satisfies the equation sin^(4)theta-2sin^(2)t...

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  12. The number of solutions of the equation sin^3x cos x + sin^2 x cos^2x ...

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  13. The number of solutionsof the equation 1 +sin x sin^2 ""(x)/2 = 0 i...

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  14. If 0le x le pi and 81^(sin^2 x) + 81^(cos^2x) = 30, then x is equal to

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  15. If 3^(sin2x + 2cos^2x) + 3^(1-sin2x + 2sin^2x) = 28 , then the values ...

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  16. Solve 2^(cos 2x)+1=3.2^(-sin^(2) x)

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  17. The equation sin^(4) x + cos^(4) x + sin 2x + k = 0 must have real s...

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  18. The equation sin^4 x - 2cos^2 x + a^2 = 0 is solveble if

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  19. Solve: log(cosx) sin x + log(sin x) cos x = 2.

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  20. If log(cosx)tan x + log(sinx) cot x = 0, then the most general value o...

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