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If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((...

If `f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1))` is an onto function, the set of values `a` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. If u and v are the roots of the equation x^2+2x-2=0 , then the value o...

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  2. If A O, then I+ A A2 (where I is the unit matrix of order same as that...

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  3. If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1)) is an onto...

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  4. inte^(x)((1+sinx)/(1+cosx))dx=

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  5. (C0+C1)(C1+C2)(C2+C3)(C3+C4)...........(C(n-1)+Cn)=(C0C1C2.....C(n-1)(...

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  6. It is given that the Rolles theorem holds for the function f(x)=x^3...

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  7. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  8. The number of solution of the equation (x+2)^(log(x+2)(6+x-x^(2)))=(x-...

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  9. The mean and variance of a binomial distribution (p+q)^n are 20 and 16...

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  10. If N=(1-cos4beta)/(sec^2 2beta-1)+(1+cos4beta)/(cosec^2 2beta-1) then ...

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  11. The radius of the circle touching the line x+y=4" at "(1, 3) and inter...

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  12. Bag I contains 3 red and 4 black balls while another Bag II contain...

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  13. 5/4-7/6-(-2)/3=\ 3/4 (b) -3/4 (-7)/(12) (d) 7/(12)

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  14. For the function f(x)=4/3x^3-8x^2+16 x+5,x=2 is a point of local maxim...

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  15. 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

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  16. If a, b, c, d and p are different real numbers such that (a^2+b^2+...

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  17. The co-efficient of x in the expansion of (1-2x^3+3x^5)(1+1/x)^8 is:

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  18. If the function f(x) satisfies (lim)(x->1)(f(x)-2)/(x^2-1)=pi, evaluat...

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  19. Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has ...

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  20. The value of lim(x-> pi/3) ((tan^3x-3*tanx)/cos(x+pi/6))

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