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The sum of distinct values of x such tha...

The sum of distinct values of x such that `|x^(2)-x-6|=x+2` is

A

0

B

2

C

`-2`

D

4

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  2. The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  3. The sum of distinct values of x such that |x^(2)-x-6|=x+2 is

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  4. Range of the function f(x)=(x^(2)+x+2)/(x^(2)+x+1),x inR is :

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  5. If x in R the expression (x^(2)+2 x-11)/(x-3) does not take value in

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  6. The least value of (6 x^(2)-18 x+21)/(6 x^(2)-18 x+17) is

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  7. If x^(2)-3 x+2 ge 0 and x^(2)-3 x-4 le 0 then

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  8. If (x^(2)-|x|-2)/(2|x|-x^(2)-2) ge 2, then

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  9. The function (x^(2)+2 x+c)/(x^(2)+4 x+3 c) assumes all real values onl...

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  10. The least value of (x+2)/(2 x^(2)+3 x+6) is

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  11. If a+b+c=0, then the equation 3ax^(2)+2bx+c=0 has :

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  12. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

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  13. Let a, b,c in R and a ne 0. If alpha is a root of a^(2) x^(2) + bx + c...

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  14. If alpha and beta the roots of x^(2) + px + q = 0 and alpha^(4), beta...

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  15. The set of values of p for which the roots of the equation 3 x^(2)+2 x...

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  16. Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equa...

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  17. If p,q,r are in A.P. and are positive, the roots of the quadratic equa...

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  18. The sum of real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  19. In a triangle PQR, /R = pi//2, If tan(P//2). and tan(Q//2) are the roo...

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  20. If the roots of the equation x^(2) - 2ax + a^(2) + a - 3 = 0 are real ...

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