Question

# JEE (Main & (12. Let F(x) = x2 + 4x + 1. Then (1) F(x) > 0 for all x (3) F(x) 2 1 when xs 4 (2) F(x) > 1 when x 20 (4) F(x)= F(-x) for all x Then 13. fxe R then ** +2x +a can take all real values if x2 + 4x +3a (2) a € (0, 1) (1) a € (0, 2) (4) None of these (3) a € (-1, 1) If the roots a and B of the equation ax2 + bx + c = 0 are real and of opposite sign then the roots equation a(x - 2)2 + B(x - 0)2 is/are (2) Negative (1) Positive (4) Imaginary (3) Real and opposite sign If 1 lies between the roots of the equation 3x2 – 3 sin ax - 2 cosa a = 0 then a lies in the interval root less than and

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