Questions
If are the varties then as a varies the locus of its centroid, is
a
x2+y2−2x−4y+1=0
b
3x2+y2−2x−4y+1=0
c
x2+y2−2x−4y+3=0
d
none of these
detailed solution
Correct option is B
let (h, k) be the centroid of the triangle havingA(cosα,sinα),B(sinα,−cosα) and C(1,2) Then h=cosα+sinα+13 and k=sinα−cosα+23 ⇒ 3h−1=cosα+sinα⇒ 9h2+k2−6h−12k+3=0⇒ 3h2+k2−2h−4k+1=0Hence, the locus of (h,k) is 3x2+y2−2x−4y+1=0Talk to our academic expert!
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