#### Thank you for registering.

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

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0
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

# for the variable triangle ABC with fixed vertex C(1,2) and A,B having coordinates (cost,sint) , (sint,-cost) respectively , find the locus of its centroid

jitender lakhanpal
62 Points
9 years ago

Dear krishnan,

coordinates of orthocentre for this triangle (cost +sint +1)/3 , (sint - cost +2 )/3

h = (cost +sint +1)/3     k =   (sint - cost +2 )/3

(3h-1)2= (cost +sint)2 ---1     (3k-2)2 = (sint - cost)2---2

now squaring 1 and 2 and adding them we get

9(h2+k2)-6h -12k +3 = 0

now replacing h , k by x, y

9(x2+y2)-6x -12y +3 = 0   is the locus of the coordinates of centeroid

Now you can win exciting gifts by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.