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IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(...

`IfI(m , n)=int_0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n` `I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m-n))dx` `I(m , n)=int_0^oo(x^(m-1))/((1+x)^(m+n))dx` `I(m , n)=int_0^oo(x^(n-1))/((1+x)^(m+n))dx` `I(m , n)=int_0^oo(x^n)/((1+x)^(m+n))dx`

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RESONANCE DPP-JEE MAINS-All Questions
  1. The line y=m x bisects the area enclosed by the curve y=1+4x-x^2 and t...

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  2. Consider 8 vertices of a regular octagon and its centre. If T denotes ...

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  3. IfI(m , n)=int0^1x^(m-1)(1-x)^(n-1)dx ,(m , n in I ,m ,ngeq0),t h e n...

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  4. There are 720 permutations of the digits 1, 2, 3, ,4 5, 6. Suppose the...

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  5. 5 Indian & 5 American couples meet at a party& shake hands. If no wife...

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  6. Find the number of terms of a G.P. in which the ratio of the sum of th...

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  7. The number of terms of an A.P. is even; the sum of the odd terms is ...

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  8. Comprehension (6 to 8) Given a special sequence, a, b, c, d such that ...

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  9. If three A.M.s are inserted between b and c, then the mind A.M. is (11...

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  10. The sets S1,S2,S3, .......... are given by S1={2/1},S2={3/2,5/2},S3={4...

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  11. The arithmetic mean of two numbers is 6 and their geometric mean G and...

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  12. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

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  13. The probabilities of solving a question by three students are 1/2,1/4,...

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  14. The sum of 100 terms of the series . 9+. 09+. 009 ..... will be 1-(1/1...

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  15. If n arithemetic means are inserted between 20 and 80 such tht the r...

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  16. Let r ,s ,a n dt be the roots of equation 8x^3+1001 x+2008=0. Then f...

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  17. Number of three digit natural numbers which on dividing by 6 leaves 3 ...

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  18. The co-ordinates of the centre of the hyperbola, x^2+3x y+3y^2+2x+3y+2...

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  19. A postman delivered daily for 42 days 4 more latters each day than on ...

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  20. Let the sequence a1,a2,a3, ,an from an A.P. Then the value of a1 2-a2 ...

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