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Let A={1,2,3,5,8,9}.Then the number of p...

Let `A={1,2,3,5,8,9}`.Then the number of possible functions `f:A rarr A` such that `f(m*n)=f(m)*f(n)` for every `m,n in A` with `m*n in A` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2023 JAN ACTUAL PAPER-Question
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  2. The number of seven digits odd numbers,that can be formed using all th...

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  3. Let A={1,2,3,5,8,9}.Then the number of possible functions f:A rarr A s...

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  4. Let A be the area of the region {(x,y):ygex^(2),yge(1-x)^(2),yle2x(1-x...

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  5. If the value of real number a>0 for which x^(2)-5ax+1=0 and x^(2)-ax-5...

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  6. If the domain of the function f(x)=([x])/(1+x^(2)),where [x] is greate...

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  7. A bag contains 6 balls. Two balls are drawn from it at random and both...

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  8. If the sum and product of four positive consecutive terms of a G,.P. a...

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  9. .Let y=f(x)=sin^(3)((pi)/(3){cos{(pi)/(3sqrt(2))(-4x^(3)+5x^(2)+1)^((3...

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  10. The number of real roots of the equation sqrt(x^(2)-4x+3)+sqrt(x^(2)-9...

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  11. (S1) (p rArr q)vv(p^^(~q)) is a tautology (S2) ((~ p) rArr(~q))^^((~p...

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  12. Let the shortest distance between the lines L:(x-5)/(-2)=(y-lambda)/(0...

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  13. .Let vec a=2hat i+hat j+hat k and vec b and vec c be two nonzero vecto...

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  14. .Let alpha in(0,1) and beta=log(e)(1-alpha). Let P(n)(x)=x+(x^(2))/(2)...

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  15. Let A=[[1,0,0],[0,4,-1],[0,12,-3]].Then the sum of the diagonal elemen...

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  16. For all z in C on the curve C(1):abs(z)=4,let the locus of the point z...

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  17. If sin^(-1)((alpha)/(17))+cos^(-1)((4)/(5))-tan^(-1)((77)/(36))=0,0 lt...

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  18. For the system of linear equations x+y+z=6 alpha x+beta y+7z=3 x+2y...

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  19. Let R be a relation on N times N defined by (a,b)R(c,d) if and only if...

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  20. The value of int((pi)/(3))^((pi)/(2))(2+3sin x)/(sin x(1+cos x))dx is ...

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