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If the mean and variance of the frequenc...

If the mean and variance of the frequency distribution

are 9 and 15.08 respectively, then the value of `alpha^2+beta^2-alpha beta` is ______

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. The number of points, where the curve y=x^5-20x^3+50x+2 crosses the x-...

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  2. Let f(x)=x/(1+x^n)^(1/n), x in RR-{-1}, n in NN , n gt 2 If f^n(x)=(fo...

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  3. If the mean and variance of the frequency distribution are 9 and ...

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  4. The value of tan 9^@-tan 27^@-tan 63^@+tan 81^@ is

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  5. If the lines (x-1)/2=(2-y)/-3=(z-3)/alpha and (x-4)/5=(y-1)/2=z/beta i...

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  6. If (20)^19+2(21)(20)^18+3(21)^2(20)^17+. . .+20(21)^19=k(20)^19, then ...

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  7. The number of 4-letter words, with or without meaning , each consistin...

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  8. Let the eccentricity of an ellipse x^2/a^2+y^2/b^2=1 is reciprocal to ...

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  9. For alpha, beta, z in CC and lamda gt 1, if sqrt(lamda-1) is the radiu...

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  10. Let a curve y=f(x), x in (0,oo) pass through the points P(1,3/2) and Q...

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  11. Let (alpha,beta) be the circumcenter of the triangle formed by the lin...

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  12. If the points with position vectors alphahati+10hatj+13hatk,6hati+11ha...

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  13. Netgation of (pRightarrowq)Rightarrow(qRightarrowp) is

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  14. The number of way ,in which 5 girls and 7 boys can be seated at a roun...

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  15. Let I(x)=int((x+1))/(x(1+xe^(x))^(2))dx, x>0.If lim (xrarroo)I(x)=0,th...

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  16. In a bolt factory, machines A,B and C manufacture respectively 20%,30%...

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  17. Let S(k)=(1+2+.....+K )/(k) and sum(j=1)^(n)S(j)^(2)=(n)/(A)(Bn^(2)+Cn...

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  18. Let alpha,beta gamma be the three roots of the equation x^(3)+bx +c=0....

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  19. The are of the region {(x,y):x^(2)leyle8-x^(2),yle7} is

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  20. Let the number of elements in sets A and B be five and two respectivel...

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