tan-1 (1 / 2) + tan-1 (1 / 3) =
1) 0 2) π / 4 3) π / 2 4) π Solution: (2) π / 4 tan-1 (1 / 2)... View Article
1) 0 2) π / 4 3) π / 2 4) π Solution: (2) π / 4 tan-1 (1 / 2)... View Article
1) 1 2) 2 3) 0 4) Infinity Solution: (3) 0 cos-1 x + cos-1 2x + π = 0... View Article
1) 71 / 125 2) 74 / 125 3) 3 / 5 4) 1 / 2 Solution: (1) 71 /... View Article
1) tan-1 (y / x) 2) tan-1 yx 3) tan-1 (x / y) 4) tan-1 (x – y) Solution: (3)... View Article
1) (3 / 4), (- 3 / 8) 2) (3 / 4, 3 / 8) 3) (4 / 3, 3... View Article
1) 0.3 2) tan-1 1.3 3) tan-1 (0.3) 4) tan-1 (1 / 18) Solution: (3) tan-1 (0.3) tan (x +... View Article
1) -1 2) 1 3) 0 4) None of these Solution: (1) -1 (tan-1 x)2 + (cot-1 x2) = 5π2... View Article
1) k = 0, k = π 2) k = 0, k = π / 2 3) k = π /... View Article
1) 0 2) 1 3) 2 4) Infinite Solution: (1) 0 (π3 / 32) ≤ (sin-1 x)3 + (cos-1 x)3... View Article
1) (- π / 2, π / 2) 2) (- π3 / 8, π3 / 8) 3) (7π3 / 8,... View Article
1) π / 2 2) π / 3 3) π / 4 4) None of these Solution: (1) π / 2 sin-1... View Article
1) π 2) π / 2 3) 0 4) None of these Solution: (2) π / 2 tan-1 (xy / zr)... View Article
1) 0 2) 1 3) π / 4 4) π / 6 5) π / 8 Solution: (3) π / 4... View Article
1) π / 4 2) π / 2 3) cos-1 (4 / 5) 4) π Solution: (1) π / 4 sin-1 (3... View Article
(1) nπ; n = 1,2,.. (2) (2n+1)π/2; n = 1,2,.. (3) (4n+1)π/2; n = 1,2,.. (4) (2n+1)π/2; n = 1,2,<..... View Article
1) 1/2 2) 0 3) 1 4) Does not exist Solution: f(x) = [x – 2] = 0 if 0... View Article
1) 4 2) 27 3) 8 4) 2 Solution: f(x3) = x4 Differentiate w.r.t.x f’(x3)3x2 = 4x3 f’(x3) = 4x3/3x2... View Article
(1) 0 (2) 1 (3) -1 (4) none of these Solution: f(x) = cos x g(x) = log x y... View Article
1) 1.611 2) 1.701 3) 1.809 4) 1.629 Solution: Given loge5 = 1.609 Let x = 5 x + dx... View Article
(1) 1/(1 + {φ(x)}5) (2) 1 + f(x) (3) (1 + {φ(x)}5) (4) 1/(1 + {f(x)}5) Solution: Given φ(x) is... View Article