Point P divides the line segment joining the points A(4, –5) and B(1, 2) in the ratio 5 : 2. Coordinates of point P are

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
Point P divides the line segment joining the points A(4, –5) and B(1, 2) in the ratio 5 : 2. Coordinates of point P are

1 $(\frac{5}{2}, \frac{- 3}{2})$

2 $(\frac{11}{2}, 0)$

3 $(\frac{13}{7}, 0)$

4 $(0, \frac{13}{7})$

Ans.
(3) $(\frac{13}{7}, 0)$

$x = \frac{m_{1} x_{2} + m_{2} x_{1}}{m_{1} + m_{2}} = \frac{5 \times 1 + 2 \times 4}{5 + 2} = \frac{5 + 8}{7} = \frac{13}{7}$

$y = \frac{m_{1} y_{2} + m_{2} y_{1}}{m_{1} + m_{2}} = \frac{5 \times 2 + 2 \times (- 5)}{5 + 2} = \frac{10 - 10}{7} = 0$

Want Us to Email you About Special Offers & Updates?