If a and b are roots of the equation 2 3 0 4 ++ = p x px , such that | | 10, a-b = then p belongs to the set :

Question:
If $\alpha$ and $\beta$ are roots of the equation $x^{2}+p x+\frac{3 p}{4}=0$, such that $|\alpha-\beta|=\sqrt{10}$, then $p$ belongs to the set :

$\{2,-5\}$
$\{-3,2\}$
$\{-2,5\}$
$\{3,-5\}$

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.

JEE Main Previous Year Online April 22, 2013

Solution:

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