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If f(x)=int0^1(dt)/(1+|x-t|),t h e nf^(p...

If `f(x)=int_0^1(dt)/(1+|x-t|),t h e nf^(prime)(1/2)i se q u a lto` 0 (b) `1/2` (c) 1 (d) none of these

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x) be a differentiable function on [0,8] such that f(1)=3, f(2)=...

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  2. if Sn=1/(3!)+5/(4!)+11/(5!)+19/(6!)+..................tn then:

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  3. If f(x)=int0^1(dt)/(1+|x-t|),t h e nf^(prime)(1/2)i se q u a lto 0 (b...

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  4. If f(x)a n dg(x) are two positive and increasing functions, then which...

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  5. Consider all functions f : {1, 2, 3,4} -> {1, 2, 3,4} which are one-o...

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  6. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

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  7. The distance between two points P and Q is d and the length of their p...

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  8. Evaluate lim(n->oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

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  9. If f(x)={1\ \ \ ,\ \ \ if\ xlt=3a x+b\ \ \ ,\ \ \ if\ 3<x<5 7\ \ \ ,\ ...

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  10. The reflection of the point vec a in the plane vec rdot vec n=q ...

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  11. The orthogonal projection of vec a\ on\ vec b is (( vec adot vec b) ...

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  12. If the expression cos(x-(3pi)/2)+sing((3pi)/2+x)+sin(32pi+x)-18cos(19...

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  13. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

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  14. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

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  15. If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of...

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  16. If ""^(100)C(6)+4." "^(100)C(7)+6." "^(100)C(8)+4." "^(100)C(9)+""^(1...

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  17. If y=1costheta+2cos2theta+3cos3theta+......+99 cos 99theta , the maxim...

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  18. If [.] and {.} denote greatest and fractional part functions respectiv...

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  19. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

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  20. Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differen...

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