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If sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-(x...

If `sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-(x^(4))/(8)+......)=(pi)/(6)` where `|x|lt2` then the value of x is

A

`(2)/(3)`

B

`(3)/(2)`

C

`-(2)/(3)`

D

`-(3)/(2)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. Which of the following is not always true?

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  2. If the four points with position vectors -2hati+hatj+hatk,hati+hatj+ha...

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  3. If sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-(x^(4))/(8)+......)=(pi)/(6) whe...

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  4. The area of the region bounded by the curve y=x^(3), its tangent at (1...

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  5. If log(0.2)(x-1)gtlog(0.04)(x+5) then

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  6. The number of real roots of equation log(e)x+ex=0

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  7. For all real values of a(0),a(1),a(2),a(3) satisfying a(0)+(a(1))/(2)+...

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  8. Let f:RtoR be defined as f(x)={{:(0","," is irrational"),(sin|x|","," ...

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  9. If the vertex of the conic y^(2)-4y=4x-4a always lies between the stra...

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  10. Number of intersecting points of the conic 4x^(2)+9y^(2)=1 and 4x^(2)+...

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  11. The value of lamda for which the straight line (x-lamda)/(3)=(y-1)/(2+...

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  12. if f:[0,pi//)toR is defined as f(theta)=|(theta,tantheta,1),(-tantheta...

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  13. If A and B are two matrices such that AB=B and BA=A then A^(2)+B^(2) e...

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  14. If omega is an imaginary cube root of unity, then the value of the det...

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  15. The value of 2cot^(-1)""(1)/(2)-cot^(-1)""(4)/(3) is

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  16. If the point (2costheta,2sintheta), for thetain(0,2pi) lies in the reg...

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  17. Number of points having distance sqrt5 from the straight line x-2y+1=0...

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  18. Let a,b, c, d be any four real number. Then a^(n)+b^(n)=c^(n)+d^(n) ho...

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  19. If alpha,beta are the roots of x^(2)-px+1=0 and gamma is a root of x^...

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  20. Number of irrational terms in the binomial expansion of (3^(1//5)+7^(1...

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