Maths-

General

Easy

Question

# 𝑉𝑒𝑟𝑖𝑓𝑦

Hint:

### Solve the LHS part and RHS part separately and then compare.

## The correct answer is: verified.

### To verify

Express the rational numbers with positive denominator by multiplying with -1**.**

Here,

Consider the LHS part, we have …(i)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 11 and 5 = 55

On multiplying with 5, we get

On multiplying with 11, we get

On adding, we get

On substituting this in (i), we get

Determine the LCM of the denominators of rational numbers.

LCM of 55 and 22 = 110

On multiplying with 2, we get

On multiplying with 5, we get

On adding, we get

Thus we have LHS to be

Consider the RHS part, we have …(ii)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 5 and 22 = 110

On multiplying with 22, we get

On multiplying with 5, we get

On adding, we get

On substituting this in (ii), we get

Determine the LCM of the denominators of rational numbers.

LCM of 11 and 110 = 110

On multiplying with 10, we get

On multiplying with 1, we get

On adding, we get

Thus we have RHS to be

So we get LHS = RHS =

Hence verified.

Here,

Consider the LHS part, we have …(i)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 11 and 5 = 55

On multiplying with 5, we get

On multiplying with 11, we get

On adding, we get

On substituting this in (i), we get

Determine the LCM of the denominators of rational numbers.

LCM of 55 and 22 = 110

On multiplying with 2, we get

On multiplying with 5, we get

On adding, we get

Thus we have LHS to be

Consider the RHS part, we have …(ii)

Determine the LCM of the denominators of rational numbers inside the brackets.

LCM of 5 and 22 = 110

On multiplying with 22, we get

On multiplying with 5, we get

On adding, we get

On substituting this in (ii), we get

Determine the LCM of the denominators of rational numbers.

LCM of 11 and 110 = 110

On multiplying with 10, we get

On multiplying with 1, we get

On adding, we get

Thus we have RHS to be

So we get LHS = RHS =

Hence verified.

**Related Questions to study**

### A copper wire when bent in the form of a square encloses an area of 121 cm

### A copper wire when bent in the form of a square encloses an area of 121 cm

### Find the circumference of the given circle.

### Find the circumference of the given circle.

### The sum of two rational numbers is -5. If one of them is, find the other.

### The sum of two rational numbers is -5. If one of them is, find the other.

Maths-

### Verify

### Verify

Maths-General

Maths-

### Find the perimeter and area of a semicircle whose radius is 14 cm.

### Find the perimeter and area of a semicircle whose radius is 14 cm.

Maths-General

Maths-

### The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.

### The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.

Maths-General

Maths-

### The circumference of a circular park is 176 m. Find the area of the park.

### The circumference of a circular park is 176 m. Find the area of the park.

Maths-General

Maths-

### A copper wire when bent in the form of a square encloses an area of 121 cm^{2}. If the same wire is bent into the form of a circle, find the area of the circle.

### A copper wire when bent in the form of a square encloses an area of 121 cm^{2}. If the same wire is bent into the form of a circle, find the area of the circle.

Maths-General

Maths-

### Find the area of a circle whose radius is 14 cm.

### Find the area of a circle whose radius is 14 cm.

Maths-General

Maths-

### Find the circumference of the given circle.

### Find the circumference of the given circle.

Maths-General

Maths-

### Evaluate

### Evaluate

Maths-General

Maths-

### The sum of two rational numbers is -5. If one of them is, find the other.

### The sum of two rational numbers is -5. If one of them is, find the other.

Maths-General

Maths-

### Arrange the following rational numbers in descending order and .

### Arrange the following rational numbers in descending order and .

Maths-General

Maths-

### 8 Arrange the following rational numbers in ascending order and .

### 8 Arrange the following rational numbers in ascending order and .

Maths-General

Maths-

### Which of the two rational numbers is greater in the given pair and

### Which of the two rational numbers is greater in the given pair and

Maths-General

Maths-

### Find the circumference of the circle whose diameter is 21 cm.

### Find the circumference of the circle whose diameter is 21 cm.

Maths-General

Maths-

### Express as a rational number with denominator 5

### Express as a rational number with denominator 5

Maths-General

Maths-

### Arrange the numbers and in ascending order

### Arrange the numbers and in ascending order

Maths-General