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In the expansion of ( 1 + x+ x^(2) + x^(...

In the expansion of `( 1 + x+ x^(2) + x^(3))^(6)` , the coefficient of `x^(14)` is `:`

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To find the coefficient of \( x^{14} \) in the expansion of \( (1 + x + x^2 + x^3)^6 \), we can follow these steps: ### Step 1: Rewrite the expression We start with the expression: \[ (1 + x + x^2 + x^3)^6 \] We can factor out \( x^2 \) from the first three terms: ...
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VMC MODULES ENGLISH-JEE MAIN REVISION TEST - 25 | JEE - 2020-MATHEMATICS
  1. int(x^(4)-1)/(x^(2)sqrt(x^(4)+x^(2)+1))dx=

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  2. Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which...

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  3. Negation of the conditional, ..If it rains, I shall go to school.. is:

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  4. If x(1), x(2),"…......." x(18) are observation such that sum(j=1)^(18)...

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  5. sin 12 ^(@) sin 48^(@) sin 54 ^(@) = (1)/(8).

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  6. let f(x) be a polynomial function of second degree. If f(1)=f(-1)and a...

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  7. How many numbers greater than 40000 can be formed from the digits 2,4,...

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  8. A spherical iron ball of radius 10cm, coated with a layer of ice of un...

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  9. The straight line whose sum of the intercepts on theaxes is equal to h...

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  10. If the eccentricites of the ellipse x^(2)/4+y^(2)/3=1 and the hyperbol...

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  11. The number of real root of the equal x^(3) -6x +9 = 0 is :

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  12. A person draws a card from a well shuffled pack of 52 playing cards. R...

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  13. find that the distance of the point of intersection of the line (x-2)/...

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  14. int (-pi)^(pi) (sin^(4)x)/(sin^(2) x + cos^(4) x )dx is equal to

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  15. If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A, then find ...

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  16. The projection of the line segment joining the points ( -1,0,3) and (2...

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  17. In the expansion of ( 1 + x+ x^(2) + x^(3))^(6) , the coefficient of x...

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  18. if ( dy )/(dx) =1 + x +y +xy and y ( -1) =0 , then the value of ( y (...

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  19. The number of real solutions of the equation (9//10)^x=-3+x-x^2 is

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  20. Let vec a , vec ba n d vec c be three verctors such that vec a!=0...

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