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[latex]\frac{d}{dx}\sin^{-1}\left ( 2ax\sqrt{1-a^{2}x^{2}} \right )=[/latex]

(1) 2a/√(a2 – x2) (2) a/√(a2 – x2) (3) 2a/√(1 – a2x2) (4) a/√(1 – a2x2) Solution: Let y =... View Article

(1) √(1 – x2)/√(1 – y2) (2) √(1 – y2)/√(1 – x2) (3) √(x2 – 1)/√(1 – y2) (4) none... View Article

1) 1 2) 2 3) 3 4) 4 Solution: (4) 4 The given equation is sin-1 (tan π / 4)... View Article

1) n 2) n / (n + 1) 3) n / (n + 2) 4) n + 1 Solution: (3)... View Article

1) π / 2 2) π / 4 3) π / 3 4) π Solution: (2) π / 4 tan-1... View Article

1) x + y 2) [x + y] / [1 – xy] 3) [x + y] / [1 + xy]... View Article

1) π / 2 2) π / 4 3) π 4) π / 3 Solution: (2) π / 4 LHS... View Article

1) 0, 1 / 2 2) 1, – 1 / 2 3) – 1 / 2, 1 / 2 4)... View Article

1) 1/2 2) √3/2 3) -1/2 4) None of these Solution: (2) √3 / 2 sin-1 x – cos-1 x... View Article

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

1) a + b + c = abc 2) ab + bc + ca = abc 3) 1/a + 1/b... View Article

1) one 2) two 3) zero 4) None of these Solution: (2) two tan-1 x + cos-1 (y) / (√1... View Article

1) 1 2) 2 3) 0 4) ∞ Solution: (3) 0 cos-1 x + cos-1 2x + π = 0... View Article

1) x = y = z 2) x = y = – z 3) x = 1, y = 2,... View Article

1) 6 / 17 2) 17 / 6 3) 16 / 7 4) none Solution: (2) 17 / 6 tan... View Article

1) – 1 2) 2/5 3) 1/3 4) 1 5) 1/5 Solution: (5) 1 / 5 sin [sin-1 (1 /... View Article

1) sin (cos-1 x) = cos (sin-1 x) 2) sec (tan-1 x) = tan (sec-1 x) 3) cos (tan-1 x)... View Article

1) 0 2) 1/2 3) – (1/2) 4) 1 Solution: (2) 1/2 4 sin-1 x + cos-1 x = π... View Article

1) 0 2) 1 3) tan-1 x 4) tan-1 2x Solution: (3) tan-1 x tan-1 [3x – x3] / [1... View Article

1) tan2 (α/2) 2) cot2 (α/2) 3) tanα 4) cot (α/2) Solution: (1) tan2 (α/2) Put √cos α = θ... View Article