Question

# The general solution of i

Hint:

### A general solution is one which involves the integer ‘n’ and gives all solutions of a trigonometric equation.

## The correct answer is:

### Here, we have to find the general solution.

Tan 2x - Tan x / 1 + Tan x. Tan 2x = 1 .

Or, Tan (2x - 1 ) = 1 .

Or, Tan x = 1 .

Hence, the correct option is (d).

tan ( A - B) = tan A - tan B / 1 + tan A. tan B

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The adjoining figure shows a force of 40 N pulling a body of mass 5 kg in a direction above the horizontal. The body is in rest on a smooth horizontal surface. Assuming acceleration of free-fall is 10 . Which of the following statements I and II is/are correct?

I) The weight of the 5 kg mass acts vertically downwards

II) The net vertical force acting on the body is 30 N.

The adjoining figure shows a force of 40 N pulling a body of mass 5 kg in a direction above the horizontal. The body is in rest on a smooth horizontal surface. Assuming acceleration of free-fall is 10 . Which of the following statements I and II is/are correct?

I) The weight of the 5 kg mass acts vertically downwards

II) The net vertical force acting on the body is 30 N.

A sphere of mass m is kept in equilibrium with the help of several springs as shown in the figure. Measurement shows that one of the springs applies a force on the sphere. With what acceleration the sphere will move immediately after this particular spring is cut?

A sphere of mass m is kept in equilibrium with the help of several springs as shown in the figure. Measurement shows that one of the springs applies a force on the sphere. With what acceleration the sphere will move immediately after this particular spring is cut?

If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be erected without spilling the sand onto the surrounding area, if is the coefficient of friction between sand particle is

If you want to pile up sand onto a circular area of radius R. The greatest height of the sand pile that can be erected without spilling the sand onto the surrounding area, if is the coefficient of friction between sand particle is

Two forces are simultaneously applied on an object. What third force would make the net force to point to the left (–x direction) ?

Two forces are simultaneously applied on an object. What third force would make the net force to point to the left (–x direction) ?

A car is going at a speed of 6 m/s when it encounters a 15 m slope of angle . The friction coefficient between the road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which it can reach the bottom is

A car is going at a speed of 6 m/s when it encounters a 15 m slope of angle . The friction coefficient between the road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which it can reach the bottom is

### A block of mass m = 2 kg is resting on a rough inclined plane of inclination 30^{0 }as shown in figure. The coefficient of friction between the block and the plane is = 0.5. What minimum force F should be applied perpendicular to the plane on the block, so that block does not slip on the plane (g=10m/ )

### A block of mass m = 2 kg is resting on a rough inclined plane of inclination 30^{0 }as shown in figure. The coefficient of friction between the block and the plane is = 0.5. What minimum force F should be applied perpendicular to the plane on the block, so that block does not slip on the plane (g=10m/ )

### A block of mass of 10 kg lies on a rough inclined plane of inclination with the horizontal when a force of 30N is applied on the block parallel to and upward the plane, the total force exerted by the plane on the block is nearly along (coefficient of friction is = ) ( g = 10 m/ )

### A block of mass of 10 kg lies on a rough inclined plane of inclination with the horizontal when a force of 30N is applied on the block parallel to and upward the plane, the total force exerted by the plane on the block is nearly along (coefficient of friction is = ) ( g = 10 m/ )

### A block of mass 3 kg is at rest on a rough inclined plane as shown in the figure. The magnitude of net force exerted by the surface on the block will be (g=10 m/ )

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### If then the vectors and

We can check for parallelepiped. We can take the scalar product of the given vectors. If we do that, we will find the volume to be 6 units. It doesn't match any option.

### If then the vectors and

We can check for parallelepiped. We can take the scalar product of the given vectors. If we do that, we will find the volume to be 6 units. It doesn't match any option.