Question

# The point which divides the line segment joint the points A(7,-6) and B(3,4) in the ratio 1:2 internally lies in the

- I quadrant
- II quadrant
- III quadrant
- IV quadrant

Hint:

### A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. We have to find the quadrant in which the point which divides the line segment joint the points A(7,-6) and B(3,4) in the ratio 1:2 internally.

## The correct answer is: III quadrant

### So now we know that in a line, a line segment has two distinct endpoints. The line segment's length, which is the separation of two fixed points, is constant. The length can be calculated in feet or inches, or in metric measurements like centimetres (cm) or millimetres (mm).

Here we have given: the line segment joint the points A(7,-6) and B(3,4) in the ratio 1:2 internally

Now we know that the coordinates of the point P dividing the line segment which are joined by points A(x₁, y₁) and B(x₂, y₂) internally in the ratio m1:m2 is given by:

As given in the question, we have:

(x₁, y₁) = (7, -6)

(x₂, y₂) = (3, 4)

m₁ = 1

m₂ = 2

So, substituting the values in the equation, we get:

Here we can see that the x coordinate is positive and y coordinate is negative, so it lies in IV quadrant.

Here we used the concept of line segment and section formula, the coordinates of the point that splits a line segment (either internally or externally) into a certain ratio are found using the Section formula. Here the x coordinate is positive and y coordinate is negative, so it lies in IV quadrant.

### Related Questions to study

### 2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days What is the time taken by 1 woman alone?

So here we used the substitution method to solve the question, apart from this method we can also use the elimination method to solve the problem as we have variables here. So the total number of days taken by a woman is 18.

### 2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days What is the time taken by 1 woman alone?

So here we used the substitution method to solve the question, apart from this method we can also use the elimination method to solve the problem as we have variables here. So the total number of days taken by a woman is 18.

### In a competitive exam, 3 marks are to be awarded for every correct answer and for every wrong answer, 1 mark will be deducted Madhu scored 40 marks in the exam Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks How many questions were there in the test? (Madhu attempted all the questions).

### In a competitive exam, 3 marks are to be awarded for every correct answer and for every wrong answer, 1 mark will be deducted Madhu scored 40 marks in the exam Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks How many questions were there in the test? (Madhu attempted all the questions).

### Two sets A and B are disjoint if and only if

### Two sets A and B are disjoint if and only if

### If

So here we understood the concept of sets and its various types that are there. The concept of intersection of sets was used which is basically when there are common terms in the given number of sets, those comes under the intersection. So .

### If

So here we understood the concept of sets and its various types that are there. The concept of intersection of sets was used which is basically when there are common terms in the given number of sets, those comes under the intersection. So .