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Q.

If the roots of the quadratic equation 4pp25x2(2p1)x+3p=0  lie on either side of unity, then the number of integral values of p is

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answer is 2.

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Detailed Solution

coeff of x2=4pp25<0. graph is concave downward. 1 must lie between the roots. 

Hence,f(1) > 0

p2+5p4>0p25p+4<01<p<4p{2,3}

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