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If (a-2)^(2) + (b-3)^(2) + (c-11)^(2)=0 ...

If `(a-2)^(2) + (b-3)^(2) + (c-11)^(2)=0` find `sqrt(a+b+c)`=?

A

4

B

`-4`

C

`+- 4`

D

16

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \((a-2)^{2} + (b-3)^{2} + (c-11)^{2} = 0\) and find \(\sqrt{a+b+c}\), we can follow these steps: ### Step 1: Analyze the equation The equation consists of three squared terms. Since the square of any real number is always non-negative, the only way for their sum to equal zero is if each individual term is equal to zero.
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-ALGEBRA THEORY-Example
  1. If (x-a) (x-b)=1 " & " a-b + 5= 0 find (x-a)^(3) - (1)/((x-a)^(3))= ?

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  2. If (x-1)^(2) + (y-2)^(2)= 0 then x+y= ?

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  3. If (a-2)^(2) + (b-3)^(2) + (c-11)^(2)=0 find sqrt(a+b+c)=?

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  4. If a^(2) + b^(2) +c^(2)=2 (a-b +c)-3 then find a-b + c= ?

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  5. If a^(2) + b^(2) + c^(2) = 2(a +2b -2c)-9 then find a+b+c=?

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  6. If 5x^(2) + 4xy + y^(2) + 2x + 1= 0 then find the value of x, y

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  7. If x^(2) + y^(2) + z^(2) + 12x + 4y + 5=0 find x^(12) + y+ z^(30)= ?

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  8. If (x+ y-z -1)^(2) + (z+ x-y - 2)^(2) + (z+y-x-4)^(2)=0 find x+ y+z=?

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  9. If a= 297, b= 298, c= 299 and find a^(2) + b^(2) + c^(2) - ab - bc - c...

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  10. If a^(2) + b^(2) + c^(2) =ab + bc + ca find (a + c)/(b)= ?

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  11. If a^(2) +b^(2) +c^(2) = ab + bc + ca then (a+b)/(c ) + (b+c)/(a) + ...

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  12. If a^(2) +b^(2) +c^(2) = ab + bc + ca then (c )/(a+b) + (b)/(a +c)+...

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  13. If a^(2) +b^(2) +c^(2) = ab + bc + ca then ((a+b)/(c ) + (b+c)/(a) ...

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  14. If a+b+c= 0, then (a+b)/(c )= ?

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  15. If a+b+c= 0, then (a+b)/(c ) + (b+c)/(a) + (c +a)/(b)= ?

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  16. If a+b+c= 0, then (c )/(a+b) + (b)/(a+c) + (a)/(b + c)= ?

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  17. If a+b+c= 0, then ((a+b)/(c ) + (b+c)/(a) + (c+ a)/(b)) ((c )/(a+b)...

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  18. If a=b= 333, c= 334 find a^(3) + b^(3) + c^(3)- 3abc

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  19. If a= 20, b= 25, c= 15 find (a^(3) +b^(3) + c^(3)- 3 abc)/(a^(2) + b^(...

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  20. If a= 25, b= 15, c= - 10 then (a^(3) + b^(3) + c^(3) - 3abc)/((a-b)^(2...

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