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The roots of the equation |x^2-x-6|=x+2 ...

The roots of the equation `|x^2-x-6|=x+2` are

A

two positive roots

B

two real roots

C

three real roots

D

four real roots

Text Solution

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The correct Answer is:
A, C
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VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. If S is the set of all real x such that (2x-1)/(2x^(3)+3x^(2)+x) is po...

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  2. If kx ^(2)-4x+3k + 1 gt 0 for atleast one x gt 0, then if k in S conta...

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  3. The roots of the equation |x^2-x-6|=x+2 are

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  4. If the roots of the equation x ^(2)-ax -b=0(a,b, in R) are both lying...

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  5. Consider the equation is real number x and a real parameter lamda, |x-...

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  6. If a and b are two distinct non-zero real numbers such that a -b =a/b=...

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  7. Let f (x) =ax ^(2) + bx+ c,a gt = and f (2-x) =f (2+x) AA x in R and f...

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  8. In the above problem, if roots of equation f (x)=0 are non-real comple...

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  9. If exactely two integers lie between the roots of equatin x ^(2) +ax-1...

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  10. If the minimum value of the quadratic expression y =ax ^(2)+bx +c is n...

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  11. The quadratic expression ax ^(2)+bx+c gt 0 AA x in R, then :

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  12. The possible positive integral value of 'k' for which 5x ^(2) -2k x +1...

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  13. The coefficient of x in the equation x^2+px+q=0 was wrongly written as...

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  14. If x is real and x^(2) - 3x + 2 gt 0, x^(2)- 3x - 4 le 0, then which o...

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  15. If 5 ^(x) + (2 sqrt3) ^(2x) -169 le 0 is true for x lying in the inter...

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  16. Let f (x) =x ^(2) + ax +b and g (x) =x ^(2) +cx+d be two quadratic po...

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  17. The expression (1)/(sqrt(x+2sqrt(x-1)))+(1)/(sqrt(x-2sqrt(x-1))) simp...

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  18. if allvalues of x which satisfies the inequality log ((1//3))(x ^(2) +...

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  19. Which of the following statement(s) is/are correct ?

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  20. If (a, 0) is a point on a diameter of the circle x^(2)+y6(2)=4, then t...

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