wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

A family of lines is given by (1+2λ)x+(1λ)y+λ=0,λ being the parameter. The line belonging to this family at the maximum distance from the point (1,4) is

A
4xy+1=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
33x+12y+7=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12x+33y=7
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 12x+33y=7
Here, x+y+λ(2xy+1)=0
Since, each line passes through the point of intersection of the lines x+y=0 and 2xy+1=0, which is (13,13).
Thus slope of the required line, m=14131+13=411
Hence, the required line is y13=411(x+13)
3y13=411(3x+13)
11(3y1)=4(3x+1)
33y11=12x4
12x+33y=7

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Definition and Standard Forms
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon