wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Calculate the ratio in which the line joining the points A(-1, 2) and B(5, 7) is divided by the line represented by the equation x = 2.

A
4 : 5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3 :2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1 : 1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
9 : 4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 1 : 1
Every point on the line represented by the equation x = 2 can be expressed as (2, y) where y is the y-coordinate.

Let (2, y) be the point on the line represented by the equation x = 2 which divides the line joining the points A(-1, 2) and B(5, 7).

Let the required ratio be k : 1.

The coordinates of the point that divides a line joining the points (x1,y1) and (x2,y2) in the ratio m : n are

(n×x1+m×x2m+n,n×y1+m×y2m+n)

2=5k+1(1)k+1

2k+2=5k1

3k=3

k=1

Therefore, the required ratio is 1:1.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Section Formula
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon