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If y^(1//4)+y^(-1//4)=2x, and (x^(2)-1)(...

If `y^(1//4)+y^(-1//4)=2x`, and `(x^(2)-1)(d^(2)y)/(dx^(2))+alphax(dy)/(dx)+betay=0`, then `|alpha-beta|` is equal to ___________

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section B)
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  2. If y^(1//4)+y^(-1//4)=2x, and (x^(2)-1)(d^(2)y)/(dx^(2))+alphax(dy)/(d...

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  3. Let n be an odd natural number such that the variance of 1,2,3,4,....,...

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  4. If the system of linear equations {:(2x+y-z=3),(x-y-z=alpha),(3x+33...

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  5. If A={x in R : |x-2| gt 1}, B={x in R : sqrt(x^(2)-3) gt 1 }, C={x in ...

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  6. If the minimum area of the triangle formed by a tangent to the ellipse...

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  7. A number is called a palindrome if it reads the same backward as well ...

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  8. Let veca=hati+5 hat j+alpha hat k, vecb=hati+3hatj+betahatk and vec c=...

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  9. If int(dx)/((x^(2)+x+1)^(2))=atan^(-1)((2x+1)/(sqrt(3)))+b((2x+1)/(x^(...

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  10. The number of distinct real roots of the equation 3x^(4)+4x^(3)-12x^(2...

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  11. The least positive integer n such that ((2i)^n)/((1-i)^(n-2)),i=sqrt(-...

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  12. Let the mean and variance of four numbers 3, 7, x and y (x gt y) be 5 ...

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  13. Let a1, a2, ... , a(10) be an AP with common difference - 3 and b1, b2...

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  14. Let lamdane 0 be in R. If alpha and beta are the roots of the equation...

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  15. Let A be a 3xx3 real matrix. If det(2 Adj(2 Adj(Adj (2A)))) = 2^(41), ...

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  17. The sum of all 3-digit numbers less than or equal to 500, that are for...

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  18. Let ({:(n),(k):}) denote ""^(n)Ck and If Ak=sum(i=0)^9({:(9),(i)...

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  19. If the projection of the vector hati + 2 hatj + hatk on the sum of the...

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  20. Let a and b respectively be the points of local maximum and local mini...

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