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Determine all pairs (a,b) of real number...

Determine all pairs (a,b) of real numbers such that `10, a,b,ab` are in arithmetic progression .

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The correct Answer is:
`(4,-2)(5/2,-5)`
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RESONANCE-DPP-QUESTION
  1. In an A.P. the third term is four times the first term, and the sixth ...

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  2. The sum of three numbers in A.P. is 27, and their product is 504, find...

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  3. Determine all pairs (a,b) of real numbers such that 10, a,b,ab are in ...

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  4. Draw the graph of (i) y = |x+2| + |x-3| . (ii) y = x+(x)/(|x|)

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  5. |(2x+1)/(x-1)| gt 2

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  6. |x-1|+|x-2|+|x-3| ge 6

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  7. log(2)|x| lt 3

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  8. |log(3) x| lt 2

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  9. Make the following expressions free from modulus sign : (i) |x^(2) -...

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  10. Consider the equation p = 5-2q - 3 Greatest sat of all possible valu...

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  11. Consider the equation p = 5-2q - 3 If p = 4 then possible values of ...

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  12. Consider the equation p = 5-2q - 3 If p = |r| + 5, then number of po...

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  13. Total number of values of ' x ' satisfying the equation, 2^(cos2x)=3. ...

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  14. If P=cospi/(20)dotcos(3pi)/(20)dotcos(7pi)/(20)dotcos(9pi)/(20)&Q=cosp...

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  15. tan^2 (pi/16) + tan^2 ((2pi)/16) + tan^2((3pi)/16).........+tan^2((7pi...

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  16. Consider Sn=1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+,,, upto n terms t...

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  17. If y = x^(3) - 3x+2, then draw the graph of the followings

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  18. The sum sum(m)^(i=0) ({:(10),(i):})({:(20),(m-i):}), (where ({:(p),(q)...

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  19. Co-efficient of alpha^t in thet expansion of (alpha+p)^(m-1)+(alpha+...

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  20. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

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