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If variance of variables a ,2a ,2a ,3a ,...

If variance of variables `a ,2a ,2a ,3a ,3a ,3a ,dot,10 a` is 54 then value of `' a '` can be 3 (b) `-3` (c) 9 (d) 6

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RESONANCE DPP-JEE MAINS-All Questions
  1. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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  2. If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint0^1f(x)dx=(2A)/pi, ...

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  3. If variance of variables a ,2a ,2a ,3a ,3a ,3a ,dot,10 a is 54 then va...

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  4. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

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  5. Evaluate: int((x+1)e^x)/(cos^2(x e^x))dx

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  6. G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of inte...

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  7. The eccentricity of an ellipse whose centre is at the origin is 1/2...

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  8. Evaluate the following integrals: (1-35) int(-2)^2(3x^3+2|x|+1)/(x^...

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  9. The general solution of differential equation (e^x + 1)ydy = (y + 1)e^...

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  10. int(x^4+4)/(x^2-2x+2)dx (A) (x^3)/2+x^2+2x+c (B) (x^3)/3+x^2+2x+c ...

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  11. The solution of (dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0 is (A) tan^-1 ...

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  12. In a A B C ,A=(2pi)/3,b-c=3sqrt(3)c m and area ( A B C)=(9sqrt(3))/2c...

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  13. In a DeltaABC, medians AD and BE are drawn. If AD = 4, /DAB = pi/6 a...

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  14. If the difference between mean and m0de is 63, the difference between ...

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  15. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

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  16. In [0,1] Lagranges Mean Value theorem in NOT applicable to f(x)={1/2...

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  17. Through the vertex ' O^(prime) of the parabola y^2=4a x , variable c...

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  18. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i...

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  19. If omega is an imaginary cube root of unity, then the value of (p+q)^...

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  20. If f(x)=1/x^2int4^x(4t^2-2f'(t)) dt, then f'(4) is equal to:

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