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1 Plus Tanh X 1 Minus Tanh X Is

1) e2x 2) e-2x 3) i 4) -1 Answer: (1) e2x Solution: We know that tanh x = (ex –... View Article

1) coth θ 2) coth 2θ 3) tanh θ 4) tanh 2θ Answer: (3) tanh θ Solution: (e2θ – 1)/(e2θ... View Article

1) (tanh x + tanh y)/(1 – tanh x tanh y) 2) (tanh x + tanh y)/(1 + tanh x... View Article

1) 2 sinh z – 4 sinh3z 2) 4 sinh3z – 3 sinh z 3) 3 sinh z + 4... View Article

1) -(1/2) tan-1(2) 2) 12 tan-1(2) 3) -(1/2) tan-1(1/2) 4) 0 Answer: (1) -(1/2) tan-1(2) Solution: Let a + ib... View Article

1) (π/2) – 1 2) 1 – (π/4) 3) 2 – (π/2) 4) (π/4) – 1 Answer: (2) 1 –... View Article

1) 17/7 2) -17/7 3) 7/17 4) -7/17 Answer: (4) -7/17 Solution: 2 tan-1(1/5) = tan-1(1/5) + tan-1(1/5) Using the... View Article

1) 7/25 2) 24/25 3) -24/7 4) 8/3 Answer: (3) -24/7 Solution: Let cos-1(3/5) = A….(i) cos A = 3/5... View Article

1) (0, -1/2) 2) (1/2, 0) 3) {0} 4) (-1, 0) Answer: (2) (1/2, 0) Solution: Given, sin-1(1 – x)... View Article

1) only 2/3 2) only -2/3 3) 2/3, -2/3 4) Neither 2/3 nor -2/3 Answer: (3) 2/3, -2/3 Solution: Given,... View Article

1) 2x/√(1 – x2) 2) 2a/(1 – x2) 3) 2x/(1 + x2) 4) None of these Answer: (3) 2x/(1 +... View Article

1) 2a/(1 + a2) 2) (1 – a2)/(1 + a2) 3) 2a/(1 – a2) 4) None of these Answer: (3)... View Article

1) tan2(α/2) 2) cot2(α/2) 3) tan α 4) cot α/2 Answer: (1) tan2(α/2) Solution: Given, cot-1[(cos α)1/2] – tan-1[(cos α)1/2]... View Article

1) 1 2) 1/√2 3) 1/3 4) 1/2 Answer: (4) 1/2 Solution: Given, cos-1√p + cos-1√(1 – p) + cos-1√(1... View Article

1) 3 2) 2 3) 1 4) 0 Solution: (4) 0 Velocity of the ball (v) = ds/ dt =... View Article

1) –1 m / s2 2) (5 / 4) m / s2 3) (1 / 2) m / s2 4)... View Article

1) 2.7 2) –0.27 3) 27 4) None of these Solution: (2) –0.27 y = x3 + 5 dy =... View Article

1) (3 / 2) x2 2) √x3 / 8 3) (1 / 2) x2 4) πx2 Solution: (3) (1 /... View Article

1) (8 / 3) cm / sec 2) (4 / 3) cm / sec 3) (2 / 9) cm /... View Article

1) 14 m/sec 2) 13 m/sec 3) 15 m/sec 4) None of these Solution: (2) 13 m/sec Average velocity in... View Article