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The set of all real numbers x for which ...

The set of all real numbers x for which `x^2-|x+2| +x gt 0` is

A

`( - infty, -2) cup (2 , infty)`

B

`( - infty, - sqrt(2)) cup (sqrt(2), infty)`

C

`( - infty , -1) cup (1, infty ) `

D

`( sqrt(2) , infty)`

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
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  3. If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , ...

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  4. The number of real roots of 3^2x^2-7x+7=9 is (A) 0 (B) 2 (C) 1 (D) 4

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  7. Find the value of a for which one root of the quadratic equation (a^2-...

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  8. If minimum value of f(x)=(x^(2)+2bx+2c^(2)) is greater than the maximu...

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  9. If (1 - p) is a root of quadratic equation x^(2) + px + (1 - p) = 0 , ...

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  10. If one root of the equation x^(2) + px + q = 0 is square of the other...

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  11. If the roots the quadratic equation x^(2) + px + q = 0 are tan 30^(...

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

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  13. If the difference between the roots of the equation x^2+a x+1=0 is les...

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  14. The quadratic equations : x^(2) - 6x + a = 0 and x^(2) - cx + 6 = ...

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  15. [(1)/(4)] + [(1)/(4) + (1)/(200) ] + [ (1)/(4) + (1)/(100)] + [ (1)/(4...

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  16. If alpha, beta are roots of 375x^(2) - 25x - 2 = 0 and s(n) = alpha^...

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  17. If the equation a(n) x^(n) + a(n -1) x^(n-1) + .... + a(1) x = 0, a(1)...

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  18. Let a, b,c be sides of a triangle. No two of them are equal and lambda...

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  19. Let alpha, beta be the roots of the equation x^(2) - px + r = 0 and (a...

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  20. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, ...

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