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The Angle Between The Tangents At Those Points On The Curve X T 2 1 And Y T 2 T 6

1) ± tan-1 (4 / 29) 2) ± tan-1 (5 / 49) 3) ± tan-1 (10 / 49) 4) ±... View Article

1) 1/e 2) 1/2e 3) 1/e2 4) 4/e4 Solution: (3) 1 / e2 f (x) = x2 e-2x f’ (x)... View Article

1) 9 2) 12 3) 8 4) 6 Solution: (2) 12 f (x) = 2x + 3y f (x) =... View Article

1) ellipse 2) parabola 3) circle 4) hyperbola Solution: (1) ellipse and (3) circle The equation of the normal is... View Article

1) 3x + 27y = 79 2) 27x – 3y = 79 3) 27x + 3y = 79 4) 3x... View Article

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

1) a local maxima at x = 1 and a local minima at x = – 1 2) a local... View Article

1) 0 2) a 3) 2a 4) -2a Solution: (1) 0 y = a (ex/a + e-x/a) (dy / dx)... View Article

1) p = 2, q = -7 2) p = – 2, q = 7 3) p = -2, q... View Article

1) x + 2y = 3a 2) 3x – 4y + a = 0 3) 4x + 3y = 7a... View Article

1) 5 / 2 2) 8 / 5 3) 2 / 5 4) 5 / 8 Solution: (2) 8 /... View Article

1) (-3, 9) 2) (3, 19) 3) (-19, 3) 4) (-19, -3) Solution: (2) (3, 19) f (x) = (x... View Article

1) 1 2) -1 3) 2 4) 3 Solution: (4) 3 xy = 2 y + xy’ = 0 y’... View Article

1) 0 2) 1 3) 2 4) 3 Solution: (2) 1 y = e(2x^2 – 2x + 1)sin^(2)x For minima... View Article

1) x = 0 2) x = 1 3) x = 4 4) x = 3 Solution: (1) x =... View Article

The fusion of two nuclei has more mass than either of the nuclei alone but less mass than the combination... View Article

According to a new theoretical study, ordinary waves carry a small amount of mass with them as they travel. The... View Article

Centre of the mass of a body or system of a particle is defined as, a point at which the... View Article

Mass does not affect the velocity of falling objects. Only gravity and air resistance affect the velocity of falling objects.

One of the most effective ways to measure the effective mass is by studying the behaviour of the carriers in... View Article