Q. 34.5( 12 Votes )

Let us calculate the ratio in which the point (1, 3) divides the line segment joining the point s (4, 6) and (3, 5).

Class 9th West Bengal Mathematics 19. Co-ordinate Geometry: Internal and External Division of Straight Line Segment

Answer :

We know, By section formula

(where, m and n are the ratios(externally), (x₁, y₁) and (x₂, y₂) are the coordinates of the line segment, and (x, y) are coordinates of dividing point .)

Now taking in consideration the equation for x one only –

⇒ m – n = 3m – 4n

⇒ 3n = 2m

⇒ (1, 3) divides the line segment joining the point s (4, 6) and (3, 5) in the ratio 3: 2 externally.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSFind the co-ordinates of mid-point of line segment joining two point s for the following(i) (5, 4) and (3, –4)(ii) (6, 0) and (0, 7)NEXTLet us calculate in what ratio is the line segment joining the point s (7, 3) and (–9, 6) divided by the y – axis.

Related Videos

Champ Quiz | 2-Dimension( Coordinate geometry )36 mins

Basic Understanding of Coordinate Geometry33 mins

Basics of Coordinate Geometry43 mins

Doubt Session: Cell Structure, Division and Organelles49 mins

Quiz | Division of Polynomials38 mins

Know How to Solve Complex Geometry Problems!27 mins

Quiz | Imp. Qs. on Coordinate Geometry39 mins

Coordinate Geometry45 mins

Coordinate Geometry37 mins

Quiz | Euclid's Geometry44 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