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[ Suppose a in R .The set of values of a...

[ Suppose a in R .The set of values of a for which the quadratic equation `x^(2)-2(a+1)x+a^(2)-4a+3=0` has two negative roots is [ (a) (-oo,-1), (b) (1,3) (c) (-oo,1)uu(3,oo), (d) phi]]

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The set of all values of a'a' for which the quadratic equation 3x^(2)+2(a^(2)-3a+2)=0 possess roots of opposite sign,is a.(-oo,1) b.(-oo,0) c.(1,2) d.(3/2,2)

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The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

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The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is (a) (-oo,-2)uu(0,oo) (b) {-4/5} (c) (-2,0) (d) empty set