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If a + b + c = 0 and a ne c then the roo...

If a + b + c = 0 and `a ne c` then the roots of the equation `(b + c - a)x^(2) + (c + a - b)x + (a + b - c) = 0`, are

A

imaginary

B

real and equal

C

real and unequal

D

none of these

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The correct Answer is:
B, C
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ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 2
  1. If a,b,c in Q, then roots of the equation (b+c-2a) x^(2)+(c+a-2b) x+(a...

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  2. If (a+b+c=0, find the nature of the roots of ttie equation (c^2-ab)x...

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  3. If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)...

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  4. If the roots of the equation (x-b) (x-c) + (x-c) (x-a) + (x-a) (x-b)=0...

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  5. If the expression x^(2)-2 (Sigma a) x+3 Sigma ab=0 be a perfect square...

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  6. If a,b and c are real numbers then the roots of the equation (x-a)(x-b...

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  7. If three distinct positive numbers a, b, care in H.P.,then the equatio...

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  8. Find the condition if the roots of a x^2+2b x+c=0a n db x^2-2sqrt(a c ...

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  9. if a lt c lt b, then check the nature of roots of the equation (a ...

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  10. The value of m for which the equation x^(3)-mx^(2)+3x-2=0 has two root...

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  11. If a in Z and the equation (x-a) (x-10) +1=0 is integral roots, then t...

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  12. The equation (6-x)^(4)+(8-x)^(4)=16 has

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  13. If x^(2)+x+1 is a factor of ax^(3)+bx^(2)+cx+d, then the real root of ...

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  14. Let f(x) = ax^(3) + 5x^(2) - bx + 1. If f(x) when divide by 2x + 1 lea...

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  15. If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...

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  16. If the two roots of the euqation (lamda-1) (x^(2)+x+1)^(2)-(lamda+1)(x...

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  17. The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x...

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  18. If 1 lies between the roots of the equation 3x^(2)-3 sin alpha x -2 co...

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  19. If a.4^(tan x)+ a.4^(-tan x) -2=0 has real solutions, where 0 le x le ...

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  20. If the equation (cos theta - 1) x^(2) + (cos theta ) x + sin theta =0 ...

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