Q. 244.1( 8 Votes )

# Point P(x, 4) lie

Answer : Let P divides AB in a ratio r: 1.

AP : BP = r : 1

Now, coordinates of P will be .

But, coordinates of P are (x, 4).

So, equating the x coordinate and y coordinate separately, we get: = x and = 4

On solving the second equation, we get:

-10r + 8 = 4r + 4

14r = 4

r = 2/7

Therefore, r :1 will be equal to 2/7 : 1 = 2 : 7

Thus, the point P divides AB into a ratio 2 : 7

Also, on solving the first equation, we get:

4r – 5 = (r + 1)x

4(2/7) – 5 = [(2/7) + 1]x

8 – 35 = 9x

- 27 = 9x

x = - 3

Therefore, the ratio is 2 : 7 and the point P is (- 3, 4).

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Section Formula53 mins  Basics of Coordinate Geometry53 mins  Distance Formula52 mins  Doubt Session47 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 