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If alpha, beta (alpha lt beta) are the r...

If `alpha, beta (alpha lt beta)` are the roots of the equation `6x^(2) + 11x + 3 = 0`, then which of the following are real ?

A

Only I

B

Only II

C

Both I and II

D

Neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
C
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PUNEET DOGRA-QUADRATIC EQUATIONS-PREV YEAR QUESTIONS
  1. Consider the following for the next two items that follow : 2x^(2) +...

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  2. If c gt 0 and 4a + c lt 2b. Then ax^(2) - bx + c = 0 has a root in wh...

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  3. If alpha, beta (alpha lt beta) are the roots of the equation 6x^(2) + ...

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  4. If alpha, beta (alpha lt beta) are the roots of the equation 6x^(2) + ...

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  5. If one root of the equaiton (l - m)x^(2)+ lx + 1 = 0 is double the ot...

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  6. Given that tan alpha and tan beta are the roots of the equations x^(2...

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  7. If alpha and beta are the roots of the equation x ^(2) - x + 3 =0, the...

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  8. If x^(2) - px + 4 gt 0 for all real values of x. then which one of th...

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  9. If the sum of the roots of the equation ax^(2) + bx + c =0 is equal t...

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  10. If the roots of the equation x^(2) - nx + m = 0 differ by 1. then.

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  11. The number of real roots of the equation x^(2)- 3 |x| + 2 = 0 is :

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  12. If 2p +3q = 18 and 4p^(2) + 4pq - 3q^(2) - 36 = 0 them what is (2p + q...

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  13. In solving a prolem that reduces to a quadratic equation. One student ...

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  14. If m and n are roots of the equation (x +p) (x + q) - k = 0. Then root...

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  15. Consider the following statements in respect of the given equation. ...

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  16. Every quadratic equation ax^(2) + bx + c = 0. where a. b c in R. a != ...

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  17. If alpha, beta are roots of ax^(2) +bx +c = 0 and alpha +h. beta + h ...

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  18. If alpha and beta are the roots the equations ax^(2) +bx + c = 0, wher...

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  19. The roots of the equation 2a^(2) x^(2) - 2abx + b^(2) = 0. When a lt 0...

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  20. The quadratic equation x^(2) + bx + 4 = 0 will have real roots if.

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