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If A and G be A.M. and G.M., respectivel...

If A and G be A.M. and G.M., respectively between two positive numbers, prove that the numbers are `A +- sqrt((A+G)(A-G))`.

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JBD PUBLICATION-MODEL PAPER (6)-EXERCISE
  1. Prove by the principle of mathematical induction 10^(2n-1)+1 is divisi...

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  2. If .^(n+1)C(r+1):^(n)C(r):^(n-1)C(r-1)=11:6:3, find the values of n an...

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  3. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  4. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  5. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  6. If A and G be A.M. and G.M., respectively between two positive numbers...

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  7. Find the equations of the lines passing through the point (2, 2) such ...

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  8. Find the coordinates of the foci and the vertices, the ecentricity and...

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  9. Prove that:underset(xrarr2)lim(|x-2|)/(x-2) does not exist.

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  10. Find the derivative of (x)/(sin^(n)x)

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  11. In a single throw of two dice, find the probability of getting a total...

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  12. If [1/(1-4i)-2/(1+i)][(3-4i)/(5+i)]=a+ib then find the values of a and...

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  13. Find the multiplicative inverse of Z=1+costheta+isintheta.

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  14. Solve the following systems of linear inequalities graphically 3x+4yle...

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  15. Solve the system of inequalities: 2(2x+3)-10<6(x-2), ((x-2)/2)+13ge2+(...

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  16. Evaluate underset(x rarr 0)lim(sin ax+bx)/(ax+sin bx)

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  17. Find the derivative of x^-3(5+3x)

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  18. Find the derivative of x^5(3-6x^-9).

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  19. Find the mean and variance of the first n natural numbers.

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  20. Find the mean of the following data :

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