Maths-

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### Question

#### Assertion (A): If the system of equations have non zero solution then

Reason (R): If the system of equations has a non zero solution then is singular

- Both A and are true and is the correct explanation of A
- Both and are true and is not correct explanation of
- A is true but is false
- A is false but is true

#### The correct answer is: Both A and are true and is the correct explanation of A

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### Related Questions to study

physics-

#### Consider a body, shown in figure, consisting of two identical balls, each of mass connected by a light rigid rod. If an impulse is impared to the body at one of its ends, what would be its angular velocity?

Let be the angular velocity of the rod. Applying ,

Angular impulse = change in angular momentum about centre of mass of the system

Angular impulse = change in angular momentum about centre of mass of the system

#### Consider a body, shown in figure, consisting of two identical balls, each of mass connected by a light rigid rod. If an impulse is impared to the body at one of its ends, what would be its angular velocity?

physics-General

Let be the angular velocity of the rod. Applying ,

Angular impulse = change in angular momentum about centre of mass of the system

Angular impulse = change in angular momentum about centre of mass of the system

physics-

#### A binary star consists of two stars (mass 2.2 ) and B (mass 11 ), where is the mass of the sun. They are separated by distance and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star about the centre of mass is

(as will be same in both cases)

(as

The correct answer is 6.

(as

The correct answer is 6.

#### A binary star consists of two stars (mass 2.2 ) and B (mass 11 ), where is the mass of the sun. They are separated by distance and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star about the centre of mass is

physics-General

(as will be same in both cases)

(as

The correct answer is 6.

(as

The correct answer is 6.

physics-

#### A force of- F acts on , the origin of the coordinate system. The torque about the point 1, -(a) is

#### A force of- F acts on , the origin of the coordinate system. The torque about the point 1, -(a) is

physics-General

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#### The area of the region bounded by y=|x-1| and y=1 in sq. units is

#### The area of the region bounded by y=|x-1| and y=1 in sq. units is

Maths-General

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#### The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

#### The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively

Maths-General

physics-

#### A solid sphere of radius has moment of inertia about its geometrical axis. If it is melted into a disc of radius and thickness . If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to , then the value of is equal to

or

#### A solid sphere of radius has moment of inertia about its geometrical axis. If it is melted into a disc of radius and thickness . If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to , then the value of is equal to

physics-General

or

maths-

#### The area of the region bounded by y= and the x-axis is

#### The area of the region bounded by y= and the x-axis is

maths-General

maths-

#### Area of the region bounded by y is

#### Area of the region bounded by y is

maths-General

Maths-

#### Area of the region bounded by y=and y=2 is

STEP BY STEP SOLUTION

Area of the region bounded by y=and y=2 is

Area

sq. units

Area of the region bounded by y=and y=2 is

Area

sq. units

#### Area of the region bounded by y=and y=2 is

Maths-General

STEP BY STEP SOLUTION

Area of the region bounded by y=and y=2 is

Area

sq. units

Area of the region bounded by y=and y=2 is

Area

sq. units

maths-

#### The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

#### The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is

maths-General

physics-

#### A joint is formed by two identical rods and each of mass and length in the plane as shown. Its moment of inertia about axis coinciding with is

#### A joint is formed by two identical rods and each of mass and length in the plane as shown. Its moment of inertia about axis coinciding with is

physics-General

Maths-

#### The area bounded by the parabola=4ay, x-axis and the straight-line y=2a is

#### The area bounded by the parabola=4ay, x-axis and the straight-line y=2a is

Maths-General

physics-

#### Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

Moment of inertia of the system about the centre of plane is given by

#### Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?

physics-General

Moment of inertia of the system about the centre of plane is given by

physics-

#### For the given uniform square lamina , whose centre is

Let the each side of square lamina is .

So, (due to symmetry)

And (due to symmetry)

Now, according to theorem of perpendicular axis,

(i)

and

(ii)

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

So,

So, (due to symmetry)

And (due to symmetry)

Now, according to theorem of perpendicular axis,

(i)

and

(ii)

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

So,

#### For the given uniform square lamina , whose centre is

physics-General

Let the each side of square lamina is .

So, (due to symmetry)

And (due to symmetry)

Now, according to theorem of perpendicular axis,

(i)

and

(ii)

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

So,

So, (due to symmetry)

And (due to symmetry)

Now, according to theorem of perpendicular axis,

(i)

and

(ii)

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

So,

chemistry-

#### Which is correct about the change given below

#### Which is correct about the change given below

chemistry-General