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Let f be a continuous function such that `f(3x)-f(x)=x and f(8)=7`, then `f(14)` is equals to

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. The number of 5 digit number's whose product of the digit is 36 is

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  2. If [A](2xx2) and absA=-1 and abs((A+I)(adj A+I))=4 , then abs(Trace (A...

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  3. Let f be a continuous function such that f(3x)-f(x)=x and f(8)=7, then...

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  4. If lim(x to oo) sum(k=1)^n (2n)/(n^2+k^2)=a and f(x)=sqrt((1-cos x)/(1...

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  5. A tangent is drawn to y^2=24x at (alpha,beta) which is perpendicular t...

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  6. Given two GPs 2,2^2,2^3,. . .,2^60 and 4,4^2,. . .,4^n.If G.M of (60+n...

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  7. If p,q,r are positive real number such that (p^2+q^2)x^2-2q(p+r)x+q^2+...

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  8. Let f (x) =3x ^(10) -7x ^(8) +5x^(6) -21 x ^(3) +3x ^(2) -7 265 (lim...

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  9. In the expansion (1+x)^p(1-x)^q , when p gt 0 the coefficient of x and...

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  10. If the mean and variance of a binomial probability distribution are al...

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  11. Statement ~(p hArr ~q) wedge q is equivalent to

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  12. If f(x)={((ln(1-x+x^2)+ln(1+x+x^2))/(sec x -cos x), x ne 0),(k,x=0):} ...

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  13. If g(x)={(x+a , x le 0),(abs(x-4), x gt 0):} and f(x)={(x+1 , x lt 0),...

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  14. In complex plane, three points O ,A , B are such that O is origin A(1,...

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  15. If A=[(1),(1),(1)] , B =[(9^2,10^2,11^2),(12^2,-13^2,14^2),(15^2,16^2,...

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  16. The value of int0^(20pi) (abs(sin x)+ abs(cos x))dx is equal to :

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  17. The total number between 1000 and 3000 divisible by 4 using the digits...

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  18. The area of region between the curve y=abs(x^2-1) and y=1 is :

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  19. The interval in which abscissa of point P on y=x^2 lies such that its ...

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  20. The minimum value of the sum of the square of the roots of the equatio...

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