Question

The equation of a circle is given by $𝑥^2+𝑦^2=𝑎^2$, where 𝑎 is the radius. If the equation is modified to change the origin other than (0,0) then. find out the correct dimensions of A and B in a new equation : $(𝑥−𝐴𝑡)^2+(𝑦−𝑡 𝐵 )^2 =𝑎^2$. The dimensions of 𝑡 is given as $[T^{−1}]$.

• A. $A=[LT],B=[L^{−1} T^{−1}]$
• B. $A=[L^{−1} T^{−1}],B=[LT]$
• C. $A=[L^{−1} T],B=[LT^{−1}]$
• D. $A=[L^{−1} T^{−1}],B=[LT^{−1}]$

Answer 1

Answer: (A)

$A=[LT],B=[L^{−1} T^{−1}]$

Answer 2

The correct option is (A).