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The Normal To A Curve At P X Y Meets The X Axis At G

1) ellipse 2) parabola 3) circle 4) hyperbola Solution: (1) ellipse and (3) circle The equation of the normal is Y - y = (dy / dx)... View Article

The Equation Of Normal To The Curve X 2y X 2 3x 6 At The Point With Abscissa X 3 Is

1) 3x + 27y = 79 2) 27x - 3y = 79 3) 27x + 3y = 79 4) 3x - 27y = 79 Solution: (2) 27x - 3y = 79 x2y = x2 - 3x + 6 .... (i) At x =... View Article

The Point On The Curve Y X 3 At Which The Tangent To The Curve Is Parallel To The X Axis Is

1) (2, 2) 2) (3, 3) 3) (4, 4) 4) (0, 0) Solution: (4) (0, 0) y = x3 dy / dx = 3x2 Since the tangent to the curve is parallel... View Article

The Function F X X 1 X Has

1) a local maxima at x = 1 and a local minima at x = - 1 2) a local minima at x = 1 and a local maxima at x = - 1 3) absolute maxima at x =... View Article

The Abscissa Of The Point On The Curve Y A E X A E X A Where The Tangent Is Parallel To The X Axis Is

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

If Y 4x 5 Is A Tangent To The Curve Y 2 Px 3 Q At 2 3 Then

1) p = 2, q = -7 2) p = - 2, q = 7 3) p = -2, q = -7 4) p = 2, q = 7 Solution: (1) p = 2, q = -7 y2 = px3 2y (dy / dx) = p... View Article

The Equation Of The Normal To The Curve Y 4 Ax 3 At A A Is

1) x + 2y = 3a 2) 3x - 4y + a = 0 3) 4x + 3y = 7a 4) 4x - 3y = 0 Solution: (3) 4x + 3y = 7a y4 = ax3 The equation of the... View Article

The Length Of The Subtangent At 2 2 To The Curve X 5 2y 4 Is

1) 5 / 2 2) 8 / 5 3) 2 / 5 4) 5 / 8 Solution: (2) 8 / 5 x5 = 2y4 At (2, 2), L = |y * (dy / dx)| 5x4 (dx) = 8y3 (dy) dx /dy =... View Article

If M And M Respectively Denote The Minimum And Maximum Of F X X 1 2 For X Belongs To 3 1

1) (-3, 9) 2) (3, 19) 3) (-19, 3) 4) (-19, -3) Solution: (2) (3, 19) f (x) = (x - 1)2 + 3 f’ (x) = 2 (x - 1) = 0 x ∈ [-3, 1]... View Article

If Theta Is Angle Between The Curves Xy 2 And X 2 4y 0 Then Tan Theta Is Equal To

1) 1 2) -1 3) 2 4) 3 Solution: (4) 3 xy = 2 y + xy’ = 0 y’ = -y / x = m1 Point of intersection xy = 2 x (-x2 / 4) = 2 x =... View Article

The Minimum Value Of E 2x 2 2x 1 Sin 2 X Is

1) 0 2) 1 3) 2 4) 3 Solution: (2) 1 y = e(2x^2 - 2x + 1)sin^(2)x For minima or maxima, dy/dx = 0 e(2x^2 - 2x + 1)sin^2x[(4x -... View Article

The Minimum Value Of X 2 1 1 X 2 Is At

1) x = 0 2) x = 1 3) x = 4 4) x = 3 Solution: (1) x = 0 y = x2 + (1 / 1 + x2) y’ = 2x - [2x / (1 + x2)2] = 0 = x - [x / (1 + x2)2]... View Article

Why Is Mass Lost In Nuclear Fusion

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

Do Sound Waves Have Mass

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

What Is The Definition Of Center Of Mass

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

Does Mass Affect Velocity

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

How Do You Measure Effective Mass

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

Does Natural Frequency Change With Mass

The natural frequency is solely determined by the mass. The spring constant decreases for a larger mass.... View Article

Does The Spring Constant Change With Mass

No, the mass of the spring does not affect the spring constant.... View Article

What Is Effective Mass Of The Spring

The effective mass of the spring in a spring-mass system while using an ideal spring of uniform linear density is ⅓ rd of the mass of the spring... View Article

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