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Roots of the equation (a+b-c)x^(2)-2ax+(...

Roots of the equation `(a+b-c)x^(2)-2ax+(a-b+c)=0, (a,b, c, epsilonQ)` are

A

rational

B

irrational

C

complex

D

None of these

Text Solution

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The correct Answer is:
A
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MOTION-QUADRATIC EQUATION-EXERCISE -2 (OBJECTIVE PROBLEMS)
  1. If one root of the equation x^2+ px+ 12=0 is 4, while the equation x^...

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  2. If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then ...

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  3. Roots of the equation (a+b-c)x^(2)-2ax+(a-b+c)=0, (a,b, c, epsilonQ) a...

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  4. If the roots of the equation 6x^2-7x + k=0 are rational then value of ...

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  5. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

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  6. If a ,b ,p ,q are nonzero real numbers, then how many oon roots would ...

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  7. If one of the factors of ax^(2)+bx+c and bx^(2)+cx+a is common then

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  8. If two roots of the equation x^3-px^2+qx-r=0 are equal in magnitude bu...

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  9. If condition for a^(2)x^(4)+bx^(3)+cx^(2)+dx+f^(2) may be perfect squa...

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  10. If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the leas...

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  11. If y =-2x^2-6x + 9, then (A) maximum value of y is -11 and it occur...

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  12. Consider y=(2x)/(1+x^2), where x is real , then the range of expressi...

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  13. The diagram shows the grap of y=ax^(2)+bx+c. Then

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  14. All the values of m for whilch both the roots of the equation x^2-2m x...

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  15. If both the roots of the quadratic equation x^2-2kx+k^2+k-5=0 are less...

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  16. Let a,b,c be real if ax^(2)+bx+c=0 has two real roots alpha and beta w...

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  17. If both roots of the quadratic equation x^(2)+x+p=0 exceed p where p e...

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  18. for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval

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  19. If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 i...

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  20. If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

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