can take all real values if x2 + 2x...
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can take all real values if x2 + 2x + a 13 H x = R then. x? + 4x + 3a (1) a € (0, 2) (3) a E (-1, 1) (2) a € (0, 1) (4) None of these ? + hy + c = 0 are real and of a in

JEE/Engineering Exams
Maths
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( frac{x^{2}+2 x+a}{x^{2}+4 x+3 a} ) can take all values if ( x^{2}+4 x+3 a eq 0 ) tef ( Rightarrow quad x^{2}+4 x+3 a eq 0 quad Rightarrow quad D>0 ) ( 2 times 2 times 230 times 2 times 28 ) [ 4^{2}-4(3 a) 70^{0} ] ( 12 a<16 a a^{2}<4 / 3 ) So for ( a in(-infty, 4 / 3) ) eq ( ^{n} ) can tate all real values.
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