22 The set of values of 'a' for whi...
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22 The set of values of 'a' for which the inequality x2 - (a + 2)x - (a + 3) < 0 is satisfied by atleast one positive real x, is- (A) (-3,0) (B) (-3,0) (C) (-0, -3) (D) (-0, 3]

JEE/Engineering Exams
Maths
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Sol) ( x^{2}-(a+2) x-(a+2 b)<0 ) ( x=frac{a+2 pm sqrt{(a+2)^{2}+4 a+12}}{2} leq 0 ) ( a+2 pm sqrt{a^{2}+4+4 a+4 a+12}<0 ) ( Rightarrow a+2+sqrt{a^{2}+8 a+16}<0 ) ( left(2(2)(a+4)^{2}<-2-aright. ) both sal ( a+4<-2-a ) ( 2 a<-6 ) ( a<-3 ) ( & a+2-sqrt{(a+4)^{2}}<0 ) ( a+2
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