The equation of a circle is given by x² + y² = a², where a is the… | JEE Main 2023 Physics PYQ

MCQEasyJEE Main 2023 · 29 January, Shift 2Dimensions & Dimensional Analysis

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 + \left(y - \frac{t}{B}\right)^2 = a^2.

The dimensions of $t$ are given as $[T^{-1}]$ .

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

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