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The variance of 10 natural numbers 1,1,1...

The variance of 10 natural numbers 1,1,1,1 ... k is less then 10 . Find maximum value of k

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-B
  1. For integers n and r, let ([n], [r])={(""^nCr," ""if " n ge r ge 0),...

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  2. Let lambda be an interger. If the shortest distance between the lines...

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  3. If a+alpha=1,b+beta=2 and af(n)+alphaf(1/n)=bn+beta/n, then find the v...

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  4. Let a point P be such that its distance from the point (5, 0) is thri...

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  5. If the area of the triangle formed by the positive x-axis, the normal...

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  6. The variance of 10 natural numbers 1,1,1,1 ... k is less then 10 . Fin...

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  7. Sum of first four terms of GP is 65/12 , sum of their reciprocals is 6...

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  8. S1 , S2 , . . . , S10 are 10 students , in how many ways they can be d...

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  9. Let i=sqrt(-1). If ((-1+isqrt3)^(21))/((1-i)^(24))+((1+isqrt3)^(21))/...

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  10. The number of the real roots of the equation (x + 1)^2 + |x – 5|=(27)...

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  11. IF z(z in C) satisfy abs(z+5)le5 and z(1+i)+barz(1-i)ge-10.If the maxi...

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  12. Let the normals at all the points on a given curve pass through a fixe...

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  13. Pn=alpha^n+beta^n , alpha +beta=1 , alpha*beta=-1 , P(n-1)=11 ,P(n+1)=...

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  14. If I(m,n)=overset1underset0intx^(m-1)(1-x)^(n-1)dx for m,nge1 and ove...

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  15. If the arithmetic mean and geometric mean of the p^(th) and q^(th) ter...

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  16. The total number of 4-digit number whose greatest common divisor with ...

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  17. Let L be a common tangent line to the curves 4x^2+9y^2=36 and (2x)^2+(...

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  18. If all the zeros of polynomial function f(x)=2x^5+5x^4+10x^3+10x^2+10x...

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  19. Let X1,X2,….,X(18) be eighteen observations such that sum(i=1)^(18)(Xi...

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  20. If [[1,0,0],[0,2,0],[3,0,-1]] and A^20 +alphaA^19+betaA=[[1,0,0],[0,4,...

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