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The number of values of a for which (a^(...

The number of values of a for which `(a^(2) – 3a + 2)x^(2) + (a^(2) - 5 a+6)x +a^(2) - 4=0` is an identity in x is

A

0

B

2

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. If (x-2) is a common factor of the expressions x^(2)+ax+b and x^(2)+cx...

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  2. The harmonic mean of two numbers is -(8)/(5) and their geometric mea...

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  3. The number of values of a for which (a^(2) – 3a + 2)x^(2) + (a^(2) - 5...

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  4. The value of a so that the sum of the squares of roots of the equation...

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  5. If the roots of x^2+x+a=0 exceed , a then

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  6. Out of the two roots of x^(2) + (1 - 2lambda )x + (lambda^(2)-lambda-2...

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  7. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

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  8. If the roots of x^(2) - 2kx + k^(2)-1 = 0 lie between -2 and 4 then th...

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  9. If a, b, c are real if ax^(2)+ bx + c = 0 has two real roots alpha, be...

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  10. If x is real then the range of (x^(2)-2x+9)/(x^(2)+2x+9) is

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  11. x in R the least value of (x^(2)-6x+5)/(x^(2)+2x+1)

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  12. The set of values of x which satisfy 5x+2 lt 3x+8 and (x+2)/(x-1) lt 4...

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  13. The values of x for which (x-1)/(3x+4) lt (x-3)/(3x-2)

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  14. The solution set of the inequation 3^x+3^(1-x) -4 lt 0, is

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  15. IF sqrt(9x^2 + 6x +1) lt (2-x) then

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  16. The set of solutions satisfying both x^(2)+5x+6 ge 0 and x^(2)+3x-4 lt...

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  17. {x in R: (14x)/(x+1)- (9x-30)/(x-4) lt 0} =

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  18. If 3x^(2)+4kx+1 gt 1 for all real values of x, then k lies in the in...

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  19. I) For x in (2, 4) the sign of x^(2)-6x+5 is negative II) For x in ...

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  20. Observe the following lists Then the correct matching of solutio...

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