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Let P(x)= 3x^(2)-7kx + (5k-3),x in R,whe...

Let `P(x)= 3x^(2)-7kx + (5k-3),x in R`,where k is real parameter. ltbr `{:(,"List-I",,"List-II",),((P),"The range of k so that roots of equation" P(x)=0 "lies on either side of" 2"is" ,(1),(1,prop),),((Q),"The range k so that one root lies in"(-2,0)"and other root lies in"(0,1)"of equation"P(x)=0. "is",(2),((-9)/(19),0),),((R), "The range of k so that one root is less than"-1"and other root is greater than of equation "P(x)=0."is",(3),phi,):}`

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The correct Answer is:
1,2,3
`(P) P(2)lt0impliesK gt1`
`(Q) P(-2).P(0)lt0`
`& P(0).P(1)lt0`
`implies K gt(-9)/(19)`
`(R) P(-1)lt0 & P(1) lt 0`
`implies Kin phi`
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