Maths-

General

Easy

### Question

The minimum and maximum values of 3x are

- -7,7
- -23,23
- -17,17
- -15,8

### Hint:

In this question, we have to find the range of f(x). As we know, if f(x)=a sin x+ b cos x then, range of f(x), so, by using this we can find the range of f(x).

#### The correct answer is: -17,17

#### As we know, if f(x)=a sin x+ b cos x

Then, range of f(x)

As f(x)= 8 cos 3x - 15 sin 3x

So, range of f(x)

## Book A Free Demo

+91

Grade*

Select Grade

### Related Questions to study

Maths-

#### Extreme Values:The range of

#### Extreme Values:The range of

Maths-General

physics-

#### What is the equivalent resistance between in the given circuit?

and are in series

are in parallel

and are in series

and are in parallel

and are in series

Now, and are in parallel

are in parallel

and are in series

and are in parallel

and are in series

Now, and are in parallel

#### What is the equivalent resistance between in the given circuit?

physics-General

and are in series

are in parallel

and are in series

and are in parallel

and are in series

Now, and are in parallel

are in parallel

and are in series

and are in parallel

and are in series

Now, and are in parallel

physics-

#### The current in the 1 resistor shown in the circuit is

In the given circuit 4 resistors are connected in parallel, this combination is connected in series with 1 resistance.

Also, R’’=2 +1 =3

From Ohm’s law,

Also, R’’=2 +1 =3

From Ohm’s law,

#### The current in the 1 resistor shown in the circuit is

physics-General

In the given circuit 4 resistors are connected in parallel, this combination is connected in series with 1 resistance.

Also, R’’=2 +1 =3

From Ohm’s law,

Also, R’’=2 +1 =3

From Ohm’s law,

physics-

#### The current in the 1 resistor shown in the circuit is

In the given circuit 4 resistors are connected in parallel, this combination is connected in series with 1 resistance.

Also, R’’=2 +1 =3

From Ohm’s law,

Also, R’’=2 +1 =3

From Ohm’s law,

#### The current in the 1 resistor shown in the circuit is

physics-General

Also, R’’=2 +1 =3

From Ohm’s law,

physics-

#### The total current supplied to the given circuit by the battery is

The equivalent circuit of the given circuit is as shown

Resistances 6 and 2 are in parallel

Resistances

Resistances 3 and 3 are in parallel

The current,

Resistances 6 and 2 are in parallel

Resistances

Resistances 3 and 3 are in parallel

The current,

#### The total current supplied to the given circuit by the battery is

physics-General

The equivalent circuit of the given circuit is as shown

Resistances 6 and 2 are in parallel

Resistances

Resistances 3 and 3 are in parallel

The current,

Resistances 6 and 2 are in parallel

Resistances

Resistances 3 and 3 are in parallel

The current,

physics-

#### A current of 2A flows in an electric circuit as shown in figure. The potential difference, in volts( are potentials at R and S respectively) is

Current through each arm

PRQ and PSQ=1A

From Eqs. (i) and (ii), we get

PRQ and PSQ=1A

From Eqs. (i) and (ii), we get

#### A current of 2A flows in an electric circuit as shown in figure. The potential difference, in volts( are potentials at R and S respectively) is

physics-General

Current through each arm

PRQ and PSQ=1A

From Eqs. (i) and (ii), we get

PRQ and PSQ=1A

From Eqs. (i) and (ii), we get

physics-

#### A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be

Resistance in the arms AC and BC are in series,

∴ R’=3+3=6

Now, R’ and 3 are in parallel,

Now, V=IR

∴ R’=3+3=6

Now, R’ and 3 are in parallel,

Now, V=IR

#### A 3 V battery with negligible internal resistance is connected in a circuit as shown in the figure. The current I, in the circuit will be

physics-General

Resistance in the arms AC and BC are in series,

∴ R’=3+3=6

Now, R’ and 3 are in parallel,

Now, V=IR

∴ R’=3+3=6

Now, R’ and 3 are in parallel,

Now, V=IR

physics-

#### The equivalent resistance between the points A and B will be (each resistance is

15 )

The circuit can be shown as given below

The equivalent resistance between D and C.

Now, between A and B, the resistance of upper part ADCB,

Between A and B, the resistance of middle part AOB

Therefore, equivalent resistance between A and B

The equivalent resistance between D and C.

Now, between A and B, the resistance of upper part ADCB,

Between A and B, the resistance of middle part AOB

Therefore, equivalent resistance between A and B

#### The equivalent resistance between the points A and B will be (each resistance is

15 )

physics-General

The circuit can be shown as given below

The equivalent resistance between D and C.

Now, between A and B, the resistance of upper part ADCB,

Between A and B, the resistance of middle part AOB

Therefore, equivalent resistance between A and B

The equivalent resistance between D and C.

Now, between A and B, the resistance of upper part ADCB,

Between A and B, the resistance of middle part AOB

Therefore, equivalent resistance between A and B

physics-

#### There resistances of 4 each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be

The equivalent circuit is given by

4 and 2 resistances are in series on both sides.

Then 6 and6 resistances are in parallel on both sides

R=3

4 and 2 resistances are in series on both sides.

Then 6 and6 resistances are in parallel on both sides

R=3

#### There resistances of 4 each are connected as shown in figure. If the point D divides the resistance into two equal halves, the resistance between points A and D will be

physics-General

The equivalent circuit is given by

4 and 2 resistances are in series on both sides.

Then 6 and6 resistances are in parallel on both sides

R=3

4 and 2 resistances are in series on both sides.

Then 6 and6 resistances are in parallel on both sides

R=3

physics-

#### A particle starts from rest at and moves in a straight line with an acceleration as shown below. The velocity of the particle at is

Velocity of graph Area of- graph

#### A particle starts from rest at and moves in a straight line with an acceleration as shown below. The velocity of the particle at is

physics-General

Velocity of graph Area of- graph

maths-

#### Period of is

#### Period of is

maths-General

Maths-

#### Period of

#### Period of

Maths-General

physics-

#### In a network as shown in the figure, the potential difference across the resistance 2R is (the cell has an emf of E volt and has no ingternal resistance)

In the given circuit, resistors 4R and 2R are connected in parallel while resistance R is connected in series to it.

Hence, equivalent resistance is

Given, emf is E volts, therefore

Potential difference across R is

Potential difference across 2R is

Hence, equivalent resistance is

Given, emf is E volts, therefore

Potential difference across R is

Potential difference across 2R is

#### In a network as shown in the figure, the potential difference across the resistance 2R is (the cell has an emf of E volt and has no ingternal resistance)

physics-General

In the given circuit, resistors 4R and 2R are connected in parallel while resistance R is connected in series to it.

Hence, equivalent resistance is

Given, emf is E volts, therefore

Potential difference across R is

Potential difference across 2R is

Hence, equivalent resistance is

Given, emf is E volts, therefore

Potential difference across R is

Potential difference across 2R is

physics-

#### In the adjoining figure the equivalent resistance between A and B is

Equivalent circuit of the given circuit is

Between points C and D resistors 2, 2 and 2 are in series, therefore, their equivalent resistance,

Resistors R’ and 6 are in parallel, therefore their equivalent resistance is given by

Now between points A and B 1, 3 and 1 are in series.

Therefore, resultant resistance is

R=1+3+1=5

Between points C and D resistors 2, 2 and 2 are in series, therefore, their equivalent resistance,

Resistors R’ and 6 are in parallel, therefore their equivalent resistance is given by

Now between points A and B 1, 3 and 1 are in series.

Therefore, resultant resistance is

R=1+3+1=5

#### In the adjoining figure the equivalent resistance between A and B is

physics-General

Equivalent circuit of the given circuit is

Between points C and D resistors 2, 2 and 2 are in series, therefore, their equivalent resistance,

Resistors R’ and 6 are in parallel, therefore their equivalent resistance is given by

Now between points A and B 1, 3 and 1 are in series.

Therefore, resultant resistance is

R=1+3+1=5

Between points C and D resistors 2, 2 and 2 are in series, therefore, their equivalent resistance,

Resistors R’ and 6 are in parallel, therefore their equivalent resistance is given by

Now between points A and B 1, 3 and 1 are in series.

Therefore, resultant resistance is

R=1+3+1=5

physics-

#### The charge on the capacitor of capacitance shown in the figure below will be

#### The charge on the capacitor of capacitance shown in the figure below will be

physics-General