Maths-
General
Easy

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

Hint:

### 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 = 1m₂ = 2So, 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.