Q.52 If roots of x2 – (a – 3)x + a ...
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Q.52 If roots of x2 – (a – 3)x + a = 0 are such that both of them is greater than 2, then- (A) a= [7,9] (B) a € [9, 10) (C) a € 19,7] (D) a € 19, 12]

JEE/Engineering Exams
Maths
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( x^{2}-(a-3) x+a=0 ) Doets ar ronou than 2 . (c) ( 1 geqslant 0 ) (ii) ( frac{-b}{2}>0 ) ( Rightarrow(a-3)^{2}-4 a geqslant 0 quad 3 frac{a-3}{2}>0 ) ( Rightarrow a^{2}+9-10 a geq 0 ) ( Rightarrow a>3 ) ( Rightarrow(a-9)(a-1) geqslant 0 ) ( Leftrightarrow O R>4 ) ( frac{t_{1}-j+}{g} frac{a-3>4}{3 a>7} ) ( f(0)>0 ) (0) ( quad frac{-8}{4} ) x 4 ( int_{0}^{+} frac{(v) f(2)>0}{4-2(a-3)+a} ) ( 2 a<10 ) ( 2 quad>1 ) ( 70 quad therefore quad a in[9,10) ) ( B )
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