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

If A(5,2),B(2,4) and point C lies on the locus y=1=x+x2, find the equation of the locus of centroid of ΔABC

Open in App
Solution

A(5,2),B(2,4) and C lies on y1=x+x2
let C be (x,y)
=>centroid of ABC=(5+2+x3,2+4+y3)=(h,k)=>(x,y)=(3h7,3k2)
(x,y) lies on y1=x+x2=>3k21=3h7+(3h7)2=>3k3=3h7+9h242h+49=>9h239h3k+45=0
locus =>x213xy+15=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometrical Interpretation of a Derivative
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon