Question

Mid point of $A(0,0)$ and $B(1024,2048)$ is $A_1$, midpoint of $A_1$ and $B$ is $A_2$ and so on. Coordinates of $A_{10}$ are

• A. $(1022,2044)$
• B. $(1025,2050)$
• C. $(1023,2046)$
• D. $(1,2)$

Answer 1

The correct option is D $(1,2)$

As $1024=2^{10}$ and $2048=2^{11}$

$\Rightarrow$ Coordinates of $A_1=(2^9,2^{10})$

coordinates of $A_2=(2^8,2^9)$

coordinates of $A_i=(2^{10-i},2^{11-i})$

$\Rightarrow A_{10}=2^o,2^1=(1,2)$

$\Rightarrow \left(D\right)$.