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.Let `alpha>0,` be the smallest number such that the expansion of `(x^((2)/(3))+(2)/(x^(3)))^(30)` has a term `beta x^(-alpha), beta in "IN"`.Then `alpha` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
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  2. Let a circle C(1) be obtained on rolling the circle x^(2)+y^(2)-4x-6y+...

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  3. .Let alpha>0, be the smallest number such that the expansion of (x^((2...

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  4. Let theta be the angle between the planes P(1):vec r . (hat i+hat j+2h...

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  5. The remainder on dividing 5^(99) by 11 is

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  7. If the variance of the frequency distribution. is 3, then alpha is e...

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  8. Let vec a and vec b be two vector such that |vec a|=sqrt(14),|vec b|=s...

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  9. Let the line L:(x-1)/(2)=(y+1)/(-1)=(z-3)/(1) intersect the plane 2x+y...

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  10. Let 5 digit numbers be constructed using the digits 0,2,3,4,7,9 with r...

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  11. Number of 4 -digit numbers that are less than or equal to 2800 and eit...

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  12. Let for x in R, f(x)=(x+|x|)/(2) and g(x)={(x, x<0),(x^(2),xge0):} Th...

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  13. If phi(x)=(1)/(sqrt(x))int(pi/4)^(x)(4sqrt(2)sin t-3 phi'(t))dt,x>0, t...

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  19. lim(x rarr oo)(((sqrt(3x+1)+sqrt(3x-1))^(6)+(sqrt(3x+1)-sqrt(3x-1))^6)...

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