1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# List - II Gives the coordinates of a point P that divides the line segment AB joining the points given in List -I, match them correctly. List−I List II(P)A(−1,3) and B(−5,6) Internally in the ratio 1:2(1)(7,3)(Q)A(−2,1) and B(1,4)internally in the ratio 2:1(2)(0,3)(R)A(1,7) and B(3,4) internally in the ratio 3:2(3)(115,265)(S)a(4,−3) and B (8,5) internally in the ratio 3:1(4)(−73,4)

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

## The correct option is A P- 4, Q-2, R-3, S-1(P) ∵ The point that divides a line joining the points (x1,y1) and (x2,y2) in the ratio m : n is , (n×x1+m×x2m+n,n×y1+m×y2m+n) ∴x=−5−23 =−73and y=6+63 =4 ∴ Point is (−73,4) (Q) ∵ The point that divides a line joining the points (x1,y1) and (x2,y2) in the ratio m : n is , (n×x1+m×x2m+n,n×y1+m×y2m+n) ∴x=2−22+1=0,and y=8+12+1=3 ∴ Point is (0,3) (R) ∵ The point that divides a line joining the points (x1,y1) and (x2,y2) in the ratio m : n is , (n×x1+m×x2m+n,n×y1+m×y2m+n) ∴x=9+25=115, and y=12+145=265 ∴ Point is (115,265) (S) ∵ The point that divides a line joining the points (x1,y1) and (x2,y2) in the ratio m : n is , (n×x1+m×x2m+n,n×y1+m×y2m+n) ∴x=24+43+1=7, and y=15−33+1=3 ∴ Point is (7,3)

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Section Formula
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program