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

# The points on the line x+y=4 which lie at a unit distance from the line 4x+3y=10, are?

A
(3,1),(7,11)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(7,11),(2,2)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
(7,11),(3,7)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
(1,3),(5,9)
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A (3,1),(−7,11)Let Point P(x,y) is ar the line x+y=4...(1)& have unique distance from the line 4x+3y=10So, |P|=|Ax1+By1+c|√A2+B2here P is distance (which is parallel)A=4&B=3,x1=x&y1=y c=−101=|4x+3y−10|√42+32|4x+3y−10|=54x+3y−10=±54x+3y−10=5 4x+3y−10=−54x+3y−15=0→2(i) 4x+3y−5=0→2(ii)From (1) & 2(i)→x=3&y=1From (1) & 2(ii)→x=−7&y=11So, the points (3,1)&(−7,11)are on the line x+y=4 & having unit distance from the line 4x+3y=10

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
MATHEMATICS
Watch in App
Join BYJU'S Learning Program