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

Centroid of the triangle formed by the lines (x2+7xy+2y2)(y1)=0 is

A
(73,23)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(73,23)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(73,23)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(73,23)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A (73,23)
Lines of triangle are given by
(x2+7xy+2y2)(y1)=0
x2+7xy+2y2=0 and y=1
Putting y=1 in x2+7xy+2y2=0
x2+7x+2=0 if x1,x2 are its roots then x1+x2=7 and lines x2+7xy+2y2=0 passes through (0,0)
Third vertex of the triangle (say x3) must be zero
x-coordinate of centroid be
x1+x2+x33=7+03=73
And y co-ordinate of centroid be 1+0+13=23
Required point of centroid be (73,23)
Hence (a) is correct choice.
722902_694310_ans_40b807a4247f4e4c8989b4ac72d735b1.png

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