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Quadratic Equations Practice Exercise (Basic Level- 10Quest:8 minutes)

A test by Suresh.

Test Questions
  1. Question
    If \quad \alpha,\beta \quad are \quad the \quad roots \quad of \quad 4x ^2 + 3x + 7 = 0 \quad then \quad the \quad value \quad of \quad \frac{1}{\beta} + \frac{1}{\alpha} \quad is
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  2. Question
    If \quad \alpha,\beta \quad are \quad the \quad roots \quad of \quad x ^2 - p(x+1) + C = 0 \quad then \quad the \quad value \quad of \quad (\alpha + 1)(\beta +1) \quad is
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  3. Question
    If  4 - i\sqrt{3} is a root of quadratic equation, then the equation is
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  4. Question
    If one root of the equation 5x^2 + 13x + k = 0 is the reciprocal of the other then
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  5. Question
    If one root of the equation  x^2 -2x + k = 0 is 1+2i, then the value of k is
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  6. Question
    If the roots of the equation  x^2 - 15 - k(2x-8) = 0 are equal then k =
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  7. Question
    If \quad \alpha,\beta \quad are \quad the \quad roots \quad of \quad x ^2 - px + q = 0 \quad then \quad the \quad value \quad of \quad \frac{\alpha ^2 + \beta ^2}{\alpha ^-2  +  \beta ^-2} \quad is
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  8. Question
    If the sum of the roots of the equation  5x^2 - 4x + 2 + k(4x^2 - 2x -1) = 0 is 6, then k=
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  9. Question
    The roots of the equation  a(b-c)x^2 + b(c-a)x + c(a-b) = 0 are
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  10. Question
    If one root of the equation  ax^2 + bx + c = 0 where a,b,c are integers is  \sqrt{5} + 3, then the other roots is
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