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Let F R Be A Continuous Function Defined By F X 1 E X 2e X

Statement I : f (c) = 1 / 3, for some c ∈ R Statement II : 0 < f... View Article

1) ordinate 2) abscissa 3) Square of the abscissa 4) square of the ordinate Solution: (4) square of the ordinate... View Article

1) -1 2) does not exist 3) 0 4) 1 Solution: (1) -1 f (x) = [x2 – 1] /... View Article

1) 0 2) π/6 3) π/2 4) None of these Solution: (2) π / 6 f (x) = 2 sin... View Article

1) e-3 2) 3e-3 3) 27e-9 4) ∞ Solution: (1) e-3 f (x) = x3 e-3x f’ (x) = 3x2... View Article

1) ab 2) abe2 3) abe 4) ab/e Solution: (3) abe (x2 / a2) + (y2 / b2) = 1... View Article

1) (0, 0) 2) (1, – 1) 3) (-1, 1) 4) (-1, -1) Solution: (4) (-1, -1) y = x3... View Article

1) (2√2, 0) 2) (0, 0) 3) (2, 2) 4) None of these Solution: (4) None of these Let any... View Article

Let f be a function defined by f (x) = Statement I : x = 0 is a point of... View Article

1) local maximum π and 2π 2) local minimum at π and local maximum at 2π 3) local maximum at... View Article

1) √ab 2) 2 √a / b 3) 2 √b / a 4) 2√ab Solution: (4) 2√ab f (x) =... View Article

1) 1 2) 9/8 3) 13/12 4) 17/8 Solution: (4) 17 / 8 f (x) = (x / 8) +... View Article

1) e 2) 1/e 3) -e 4) -1/e Solution: (2) 1 / e y = xe-x — (1) dy /... View Article

Statement I : f has local maximum at x = -1 and x = 2. Statement II : a =... View Article

1) π 2) √3 – (π / 3) 3) -√3 + (π / 3) 4) None of these Solution: (2)... View Article

1) a ≤ √3 2) a > 0 3) – √3 < a < √3 4) None of these Solution:... View Article

1) e(x + y) = 1 2) y = ex = 1 3) x + y = e 4) None... View Article

1) neither maximum nor minimum 2) only one maximum 3) only one minimum 4) None of the above Solution: (3)... View Article

1) ± 1 2) ± 2 3) ± 3 4) ± 4 Solution: (1) ± 1 y = ∫0x |t|... View Article

1) -2 2) -2/3 3) 2 4) 2/3 Solution: (1) -2 and (2) -2 / 3 f(x) = 2|x| +... View Article