Q. 15 D

# Find the ratio in which the line segment joining (-3,-4) and (3,5) is divided by (x,2). Also, find x.

Let C(x, 2) divides the line segment AB in the ratio m:n Here, (x, y) = (x, 2); (x1, y1) = (-3, -4) and (x2, y2) = (3, 5)

So, 2m + 2n = 5m – 4n

2m – 5m = -4n – 2n

-3m = -6n

m = 2n Now, the ratio is 2:1

Now,  3x = 6 – 3

3x = 3

x = 1

Hence, the ratio is 2:1 and the division is internal and the value of x = 1

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Some Interesting Proofs in Geometry36 mins  Section Formula30 mins  Previous Year RMO Questions43 mins  NCERT | Most Important Proofs for Boards28 mins  Know About Important Proofs in Triangles33 mins  Measuring distance by Distance formula49 mins  Champ Quiz | Previous Year NTSE QuestionsFREE Class  Smart Revision | Become a Master in Coordinate Geometry54 mins  Distance Formula and Section Formula44 mins  NCERT | Quiz on Section Formula43 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 