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If alpha, beta are the roots of 2x^(2) +...

If `alpha, beta` are the roots of `2x^(2) + 5x + 2 = 0`, then the equation with roots `(1)/(alpha+1), (1)/(beta+1)` is

A

`x^(2) + x - 2 = 0`

B

`x^(2) - x - 2 = 0`

C

`x^(2) + x - 1 = 0`

D

`x^(2) + x - 3 = 0`

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The correct Answer is:
B
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
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  3. If alpha, beta are the roots of 2x^(2) + 5x + 2 = 0, then the equation...

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  8. If x = 1 + i is a root of the equation x^(2) - ix - 1-i = 0 then the o...

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  9. Assertion (A) : If the roots of (b-c) x^(2) + (c-a) x+(a-b) = 0 are eq...

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  11. The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

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  12. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

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  13. For p, q in R, the roots of (p^(2) + 2)x^(2) + 2x(p +q) - 2 = 0 are

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  14. If the equation x^(2)-x+ m^(2) = 0 has no real roots then m can satisf...

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  15. If the roots (1)/(x+k+1)+(2)/(x+k+2)=1 are equal in magnitude but oppo...

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  16. The roots of the equation 5x^(2)+10x-7=0 are

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

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  18. If the roots of ax^(2)+ bx + c = 0 are equal in magnitude but opposite...

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  19. If the roots of ax^(2) + bx + c = 0 are both positive and b lt 0, then

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