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If f(x)=x^(2)+g'(1)x+g''(2) and g(x)=f(1...

If `f(x)=x^(2)+g'(1)x+g''(2)` and `g(x)=f(1)x^(2)+xf'(x)+f''(x)`,then the value of `f(4)-g(4)` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
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  2. A(2,6,2),B(-4,0,lambda),C(2,3,-1) and D(4,5,0),|lamda|le5 are the vert...

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  3. If f(x)=x^(2)+g'(1)x+g''(2) and g(x)=f(1)x^(2)+xf'(x)+f''(x),then the ...

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  4. Let f:IR rarr IR be a differential function such that f'(x)+f(x)=int(0...

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  5. If a(1)=8,a(2),a(3)......a(n),be an A.P.If the sum of first four terms...

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  6. The remainder,when 19^(200)+23^(200) is divided by 49,is

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  7. Let P(S) denote the power set of S = {1,2,3,…..,10}. Define the relati...

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  8. The sum sum(n=1)^oo(2n^(2)+3n+4)/((2n)!) is equal to

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  9. If y(x) = x^x , x gt 0 then y"(2) – 2y'(2) is equal to

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  10. Let veca= 2hati -7hatj+5hat k, vecb=hati+hat k and vec c =hat i +2hat ...

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  11. Let S ={X in R, 0 lt x lt 1 and 2 tan^(-1)((1-x)/(1+x)) =cos^(-1)((1-x...

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  12. For the system of linear equations alpha x + y + z = 1, x + alpha y + ...

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  13. The number of integral values of k, for which one root of the equation...

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  14. If A (1/2)[(1,sqrt3),(-sqrt3,1)] , then

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  15. Let vec a=5hat i -hat j -3hat k and vec b =hat i +3hat j +5hat k be tw...

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  16. Which of the following statements is a tautology

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  18. Let alpha x = exp(x^(beta) y ^(gamma )) be the solution of differentia...

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  19. Let a, b be two real numbers such that ab lt 0. If the complex number ...

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  20. The sum of the absolute maximum and minimum values of the function f(x...

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