If x= 2 and x = 3 are roots of the ...
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If x= 2 and x = 3 are roots of the equation 3x2 - 2px + 2q = 0, then (a) p=3 C) 9=9 (b) pa 15 (d) bp-2q=27

JEE/Engineering Exams
Maths
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( (b, c, d) ) since ( x=2 ) and ( x=3 ) are roots of given equation ( therefore quad 3(2)^{2}-2 p(2)+2 q=0 ) ( Rightarrow quad 12-4 p+2 q=0 Rightarrow-2 p+q=-6 ) and ( 3(3)^{2}-2 p(3)+2 q=0 ) ( Rightarrow quad 27-6 p+2 q=0 Rightarrow-6 p+2 q=-27 ) On solving (i) and (ii), we get ( p=frac{15}{2} ) and ( q=-6+15=9 )
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