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

If `3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-2)((2x)/(1-x^2))=pi/3, w h e r e|x|<1,` then `x` is equal to `1/(sqrt(3))` (b) `-1/(sqrt(3))` (c) `sqrt(3)` (d) `-(sqrt(3))/4`

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If: 3 sin^(-1)((2x)/(1+x^(2))) - 4 cos^(-1)((1-x^(2))/(1+x^(2))) + 2 tan^(-1)((2x)/(1-x^(2)))=pi/3 , where |x| lt 1 , then: x=

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RESONANCE DPP-JEE MAINS-All Questions
  1. Domain of f(x)=sin^(-1)[2-4x^2], where [.] denotes the greatest intege...

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  2. If 2tan^2x-5secx=1 for exactly seven distinct value of x in [0,(npi)/2...

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

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  4. Consider the inequations: ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)...

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  5. 1.The slope of the normal at the point with abscissa x = -2 of the gra...

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  6. Consider the inequations: ((x-4)^(2005)dot(x+8)^(2008)(x+1))/(x^(2006)...

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  7. Number of points of non-differentiability of the function g(x) = [x^2...

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  8. If ' a ' is a natural number and ' b ' a digit such that (3a+2007)^2=4...

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  9. Let f(x)={(sinx^2)/xx!=0 0x=0, then f^(prime)(0^+)+(0^-) has the value...

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  10. Solve the inequality: 1<(3x^2-7x+8)/(x^2+1)lt=2

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  11. P ,Q have position vectors vec a&amp; vec b relative to the origin ...

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  12. Solution set of the inequation, (x^2-5x+6)/(x^2+x+1)<0 is x in (-oo,2)...

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  13. The vertices of a triangle are A(1,1,2),B(4,3,1)a n dC(2,3,5) . A vect...

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  14. If the points ((a^3)/(a-1),(a^2-3)/(a-1)),((b^3)/(b-1),(b^3-3)/(b-1))a...

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  15. Let f(x)= cosec 2x + cosec 2^2 x+ cosec 2^3 x+........+ cosec 2^n ,x ...

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  16. Let P a point on the line y=3x and Q lies on 2y+x=2 and the mid-...

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  17. The number of positive integral solutions of, (x^2(3x-4)^3(x-2)^4)/((x...

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  18. If 3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)] such that A A^T=I, then which of ...

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  19. Solve for x :(log)2(sin x/2)&lt;-1

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  20. Let f(x)=x^4-6x^3+12 x^2-8x+3. If Rolles theorem is applicable to varp...

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