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

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

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To solve the problem, we start with the equation given: 1. **Given:** \( a + b + c = 0 \) 2. **Rearranging the equation:** We want to express \( a + b \) in terms of \( c \). We can do this by isolating \( a + b \): \[ a + b = -c \] 3. **Substituting into the expression:** Now, we need to find \( \frac{a + b}{c} \). We can substitute \( a + b \) with \(-c\): \[ \frac{a + b}{c} = \frac{-c}{c} \] 4. **Simplifying the expression:** Now we simplify the fraction: \[ \frac{-c}{c} = -1 \] 5. **Conclusion:** Therefore, we find that: \[ \frac{a + b}{c} = -1 \] ### Final Answer: \[ \frac{a + b}{c} = -1 \] ---
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-ALGEBRA THEORY-Example
  1. If a^(2) +b^(2) +c^(2) = ab + bc + ca then (c )/(a+b) + (b)/(a +c)+...

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

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

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

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

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

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

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

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

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  10. If a^(3) + b^(3) + c^(3)=3abc and a, b , c are distinct numbers. Which...

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  11. If a^(3) + b^(3) + c^(3)=3abc and a, b , c are distinct numbers. Which...

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  12. If a+b+c = 0 find (a^(2))/(bc) + (b^(2))/(ca) + (c^(2))/(ab)= ?

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  13. If a+b+c= 0 find a^(3) + b^(3) + c^(3) + 3abc

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  14. Find (a-b)^(3) + (b-c)^(3) + (c-a)^(3)= ?

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  15. Find ((x^(2)-y^(2))^(3) + (y^(2) -z^(2))^(3)+ (z^(2) -x^(2))^(3))/((x...

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  16. What will be factors of (a^(2)-b^(2))^(3) + (b^(2) -c^(2))^(3) + (c^(2...

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  17. If x+ y+ z= 2s find (s-x)^(3) + (s-y)^(3) + 3(s-x) (s-y) z= ?

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  18. If a= 1.21, b= 2.23 & c= -3.44 find a^(3) + b^(3) +c^(3) + 3abc= ?

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  19. If a= 5.431, b= 2.121 & c= -7.552 find a^(3) +b^(3) + c^(3) + 3abc= ?

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  20. If a^((1)/(3)) + b^((1)/(3)) = c^((1)/(3)) then which option is correc...

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