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Number of integral term in the expansion of `(7^(1/2)+11^(1/6))^(824)`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. Let A={1,2,3,...,7} and let "P(A)" denote the power set of "A" .If the...

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  2. If alpha = 1^2 + 4^2 + 8^2 + 13^2 +........ upto 10 terms and beta = s...

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  3. Number of integral term in the expansion of (7^(1/2)+11^(1/6))^(824)

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  4. If the function f(x)={[(1)/(|x|),,|x|ge2],[ax^(2)+2b,,|x|<2]]is differ...

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  6. A group of "40" students appeared in an examination of "3" subjects - ...

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  7. Let the latus ractum of the hyperbola (x^(2))/(9)-(y^(2))/(b^(2))=1 su...

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  8. LetA=[[2, 1, 2], [6, 2, 11], [3, 3, 2]] and P=[[1, 2, 0], [5, 0, 2], [...

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  9. Number of ways of arranging 8 identical books into 4 identical shelves...

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  11. If the mean and variance of five observations are (24)/5 and (194)/(25...

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  12. The function f(x) = 2x + 3^(2/3), x in, has

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  13. Let r and respectively be the modulus and amplitude of the complex num...

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  14. The sum of the solutions x in of the equation frac{3 cos 2x + cos^3 2...

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  15. Let vec (OA)= vec a, vec (OB) = 12 vec a + 4 vec b and vec (OC) = vec ...

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  16. If log a, log b, and log c are in A.P. and also log a - log 2b, log 2b...

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  17. If int((sin^((3)/(2))x+cos^((3)/(2))x)dx)/(sqrt(sin^(3)x cos^(3)x sin(...

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  20. If a1, a2............ are in G.P, such that a1=1/8, a1nea2 and every t...

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