First slide

Cartesian plane

Question

The point of trisection of line segment joining the point $A (2, 1) a n d B (5, 3),$ are:

Very difficult

A

$(3, \frac{7}{3}), (\frac{5}{3}, 4)$
B

$(4, \frac{5}{3}), (3, \frac{7}{3})$
C

$(3, \frac{5}{3}), (4, \frac{7}{3})$
D

$(4, \frac{7}{3}), (3, \frac{7}{3})$

Solution

let $P_{1} a n d P_{2}$ are the points which trisect the line segment joining the points $A (2, 1) a n d B (5, 3),$
$P_{1} (x, y) = (\frac{1 \times 5 + 2 \times 2}{1 + 2}, \frac{1 \times 3 + 2 \times 1}{1 + 2}) = (3, \frac{5}{3})$

$P_{2} (x, y) = (\frac{2 \times 5 + 1 \times 2}{1 + 2}, \frac{2 \times 3 + 1 \times 1}{1 + 2}) = (4, \frac{7}{3})$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App