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The term independent of x in (2x^3+3/x^k...

The term independent of `x` in `(2x^3+3/x^k)^12` is equal to `2^8 l `, where `l in "odd natural number"` , then the number of values ok k is

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let f:NN to NN be defined as f(x)={(2n,if n=2,4,6 . . .),(n-1,if n=3,...

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  2. S1 : p to (e vv q) S2 : (~p vv q) vv (~p vv e) Which of the followi...

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  3. The term independent of x in (2x^3+3/x^k)^12 is equal to 2^8 l , where...

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  4. If relation defined on set A= {1,2,3, . . .,50} , and relation R1 {(p,...

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  5. 6 tan(lim(n to oo) sum(r=1)^n tan^-1(1/(r^2+3r+3)))=

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  6. The coefficient of the term independent of x in (1-x^2+3x^3)(5/2x^3-1...

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  7. Find the area enclosed by x-axis & y=3-abs(x+1)-abs(x-1/2)

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  8. If vertex of parabola is (2,-1) and equation of its directrix is 4x-3y...

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  9. If cot alpha = -1 , sec beta=-5/3 , where alpha in (pi/2,pi) and beta ...

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  10. 30 identical candies are distributed among 4 students S1,S2,S3 and S4....

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  11. Find the equation of plane passing throught the points (2,-1,0) and pe...

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  12. In a quadratic polynomial f(-2)+f(3)=0 & f(-1)=0 then find the sum of ...

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  13. N arithmetic means are inserted between a and 100. If the ratio of fir...

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  14. Image of point P(3,2,3) with respect to the line (x-3)/3=(y-2)/4=(z-1)...

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  15. If f(x)+f(x+k)=n and I1=int0^(4k) f(x) dx and I2=int-k^(3k) f(x) dx th...

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  16. If 2xye^(x^2/y) dx +(y-x^2 e^(x^2/y))dy=0 , then

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  17. One of the diameter of (x-sqrt2)^2+(y-3sqrt2)^2=6 is a chord of anothe...

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  18. There are seven student in a class with avarage score 62. A student fa...

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  19. R1={(a,b), a,b in N ,abs(a-b) le 13} R2={(a,b), a,b in N, abs(a-b) ne ...

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  20. Probability that a one-one function from {a,b,c,d} to {1,2,3,4,5} sati...

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