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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 ENGLISH-JEE MAINS-All Questions
  1. if Sn=1/(3!)+5/(4!)+11/(5!)+19/(6!)+..................tn then:

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  2. Draw graph of the following expression. Also find extremum value if it...

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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. Draw graph of the following expression. Also find extremum value if it...

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  6. The number of common divisors of 10800 and 9000 is m. If a common d...

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  7. Let f(x) be a function which is differentiable any number of times and...

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  8. Consider all function f: {1,2,3,4} to {1,2,3,4} which are one-one, ont...

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  9. If a^2x^2+b x+c=0 has roots alpha&beta(alpha<beta and -p^2x^2+q x+r=0 ...

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

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  11. Four people sit round a circular table and each person will roll a ...

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  12. Evaluate ("lim")(xvecoo) sum(r=1)^n1/2^r , where [.] denotes the great...

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  13. If f(x)={[1 , if xle3],[a x+b , if 3ltxlt5],[ 7, if 5lex]} . Determine...

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

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  15. Match the column Column I, Column II If x=3,t h e n(log)4(2(log)3(1...

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  16. Let f be a continuous real function such that f(11)=10 and for all ...

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

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

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  19. The value of ("lim")(x→0)x[1/x], where [.] denotes GIF, is 0 (b) 1 (c)...

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  20. Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, p...

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