ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

P(1, -2) is a Point on the Line Segment A(3, -6) and B(X, Y) Such that Ap : Pb is Equal to 2 : 3. Find the Coordinates of B. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

P(1, -2) is a point on the line segment A(3, -6) and B(x, y) such that AP : PB is equal to 2 : 3. Find the coordinates of B.

Solution

Given, P(1, -2), A(3, -6) and B(x,y)

AP:PB = 2:3

Hence, coordinates of P = `((2xxx+3xx3)/(2+3), (2xxy+3xx(-6))/(2+3)) = ((2x + 9)/5, (2y- 18)/5)`

But, the coordinates of P are (1, 2).

∴ `(2x + 9)/5 = 1` and `(2y - 18)/5 = -2`

⇒ 2x + 9 = 5 and 2y - 18 =-10

⇒ 2x = -4 and 2y = 8

⇒ x = -2 and y = 4

Hence, the coordinates of B are (-2,4).

  Is there an error in this question or solution?

APPEARS IN

 2016-2017 (March) (with solutions)
Question 3.2 | 3.00 marks
Solution P(1, -2) is a Point on the Line Segment A(3, -6) and B(X, Y) Such that Ap : Pb is Equal to 2 : 3. Find the Coordinates of B. Concept: Co-ordinates Expressed as (x,y).
S
View in app×