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The total number of ordered pairs (x,y) ...

The total number of ordered pairs (x,y) satisfying `|x|+|y|=4, sin((pi)x^(2)//3)=1` is equal to

A

2

B

3

C

4

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  5. If m and n ( gt m) are positive integer, the number of solutions of ...

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  6. The number of solutions of the equation 2x=3pi(1-cosx) is

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  7. If log ((-x^(2) - 6 x)//10)(sin 3 x + sin x) = log((x^(2) - 6x)//10)(...

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  8. If |2 sin theta-cosec theta|ge1 and thea!=(npi)/2, n in Z then

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  9. If tan^(3)x+3gt3 tan x +tan^(2)xthen

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  10. The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx] (where [.] d...

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  11. If [sinx]+[sqrt(2)cosx]=-3,x I [0,2pi] ([.] denotes the greatest integ...

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  12. For what values of k the equation sinx+cos(k+x)+cos(k-x)=2 has real so...

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  13. If (sin^(3)"" (x)/(2)-cos^(3)""(x)/(2))/(2 + sin x) = (cos x)/( 3) th...

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  14. If cot(x//2) - cosec (x //2) = cot x then x =

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  15. Determine the smallest postive value of x which satisfies the equatio...

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  16. The set S(1) and S(2) are solution sets of (1+a)cos theta cos (2 theta...

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  17. If sin x ( cos ""(x)/( 4) - 2 sin x) + ( 1 + sin "" (x)/( 4) - 2 cos x...

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  18. If the equation x^(2) + 12 + 3 sin (a + bx) + 6x = 0 has at least one...

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  19. The number of possible triplets (x,y,z) such that (x+y)+(y+2z)cos 2 th...

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  20. Assume that theta is a rational multiple of pi such that cos theta isa...

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