Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

let A(2,-3) and B(-2,1) be vertices of triangle ABC,if centroid of this triangle moves on the line 2x+3y=1 then the locus of the vertex C is

let A(2,-3) and B(-2,1) be vertices of triangle ABC,if centroid of this triangle moves on the line 2x+3y=1 then the locus of the vertex C is
 

Grade:10

1 Answers

Arun
25763 Points
3 years ago
Dear student
 
 
Let C(h,k)
To find the centroid, (x+x+x3/3, y1  + y+y3/3)
(2-2+h/3, -3+1+k/3)
(h/3, k-2/3)
When we replace these values in equation of centroid,
​2.h/3 + 3. (k-2)/3 = 1
2h+3k=9
Putting x as h and y as k,
2x+3y=9
 
Hope it helps
 
Regards
Arun (askIITians forum expert)

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free