if A(cosalpha,sinalpha),B(sinalpha,-cosa...

if `A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2)` are the vertices of `DeltABC`,then as `alpha` Find the locsus of its centroid.

A

`x^2+y^2-2x-4y+1=0`

B

`3(x^2+y^2)-2x-4y+1=0`

C

`x^2+y^2-2x-4y+3=0`

D

none of these

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertices of A B C , then as alpha varies, find the locus of its centroid.

if A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertices of Triangle ABC, Find the locsus of its centroid.

If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] is identity matrix, then write the value of alpha .

If A=[(cosalpha,sinalpha),(-sinalpha,cosalpha)] prove that A.A^(T)=1 Hence find A^(-1)

Let A_(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] , then :

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] , then verify that A^T\ A=I_2 .

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha

If A=[{:(sinalpha,-cosalpha,0),(cosalpha,sinalpha,0),(0,0,1):}] then A^(-1) is equal to

If A=[[cosalpha,sinalpha],[-sinalpha,cosalpha]] is such that A^T=A^(-1) , find alpha .

If A=[[cosalpha,-sinalpha],[sinalpha,cosalpha]] , then A+A^(prime)=I , if the value of alpha is (A) pi/6 (b) pi/3 (c) pi (d) (3pi)/2