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The equation |x+1||x-1|=a^(2) - 2a - 3 c...

The equation `|x+1||x-1|=a^(2) - 2a - 3` can have real solutions for x, if a belongs to

A

`(-oo, -1]uu[3, oo)`

B

`[1-sqrt5, 1+sqrt5]`

C

`[1-sqrt5, -1]uu[3, 1+sqrt5]`

D

none of the above

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The correct Answer is:
A
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
  1. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

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  2. The quadratic equation ax^(2)+bx+c=0 has real roots if:

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  3. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

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  4. p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...

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  5. The set of values of p for which the expression x^(2) −2px+3p+4...

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  6. For a<0, deterine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  7. The average of five consecutive even numbers is 40. What is the smalle...

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  8. Solve : (5+2sqrt6)^(x^(2)-3) +(5-2sqrt6)^(x^(2)-3) = 10

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  9. If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the...

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  10. The minimum value of the expression a+(1)/(a), a gt0 is :

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

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  12. The number of integral value(s) of x satisfying the equation ∣ ∣ ∣ ​...

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  13. Number of value sof x satisfying the equation (15+4sqrt(14))^(t)+(15-4...

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  14. The inequality |2x-3|lt1 is valid when x lies in the interval :

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  15. Let a, be the roots of the equation x^2+x+1=0. The equation whose root...

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  16. The value of p for which the difference between the roots of the equat...

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  17. If x gt 0 and xy =1, the minimum value of (x + y) is

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  18. If x=7+4sqrt(3)\ \ a n d\ x y=1 , then 1/(x^2)+1/(y^2)= 64 (b) 134...

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  19. If x in R " and "alpha=(x^(2))/(1+x^(4)), then alpha lies in the inter...

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  20. The set of values for which x^(3)+1 ge x^(2)+x is

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