Sponsor Area

Coordinate Geometry

Question

Wired Faculty App

Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, –3). Hence find m.

Solution

Suppose the point P(4, m) divides the line segment joining the points A(2, 3) and B(6, -3) in the ratio K : 1

WiredFaculty

Co-ordinates of the point,

$P = (\frac{6 K + 2}{K + 1}, \frac{- 3 K + 3}{K + 1})$

But the co-ordinates of point P are given as (4, m)

$\frac{6 K + 2}{K + 1} = 4 . . . . (i) \frac{- 3 K + 3}{K + 1} = m . . . . . (i i) 6 K + 2 = 4 K + 4 2 K = 2 K = 1 P u t t i n g K = 1 i n e q u . (2) \frac{- 3 (1) + 3}{1 + 1} = m ∴ m = 0 R a t i o i s 1 : 1 a n d m = 0 i . e P i s t h e m i d p o i n t o f A B$

Some More Questions From Coordinate Geometry Chapter

Prove that the diagonals of a rectangle ABCD, with vertices A(2, -1), B(5, -1), C(5, 6) and D(2, 6), are equal and bisect each other.

Sponsor Area

For Daily Free Study Material Join wiredfaculty

WhatsApp Group

Download Android App

Ncert Book Download

Coordinate Geometry

Find the ratio in which P(4, m) divides the line segment joining the points A(2, 3) and B(6, –3). Hence find m.

Some More Questions From Coordinate Geometry Chapter

Prove that the diagonals of a rectangle ABCD, with vertices A(2, -1), B(5, -1), C(5, 6) and D(2, 6), are equal and bisect each other.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation