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

The number of positive integral solutions of the equation tan1x+cot1y=tan13 is :

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 2
cot1y=tan13tan1x
cot1y=tan1(3x1+3x)
Take tan on both sides
1y=3x1+3x
y=1+3x3xy>0
Put x=0,y=13
1+3x3x>0
x=1,y=2
3x+1x=3<0
x=2,y=7
xϵ(13,3)
The integral values of x=0,1,2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Property 4
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon