The point P which divides the line segment joining the points A(2, -5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant

Question

Philoid · Accepted Answer

If P(x, y) is the dividing point of the line joining AB then By Section Formula we have,

⇒ and

⇒ where m and n is the ratio in which the point C divides the line AB

Finding the x-coordinate of P:

⇒

⇒ x = 16/3

Finding the y-coordinate of P:

⇒

⇒ y = -11/3

Therefore the coordinates of P is (16/3, -11/3).

Since in fourth quadrant x-coordinate is positive and y-coordinate is negative.

Therefore the point P lies in the fourth quadrant.