Question

A carrom board(4*4) has the queen at the centre.the queen, hit by the striker mives to the front edge,rebounds and goes in the hole behind the striking line. Then answer
Magnitude of displqcement from centre to the front edge
A root 10
B 1/3 root 10
C 2/3 root 10
D 4/3 root 10

Answer 1

displacement AB=2/3 √10
see the attachment, hope this will help you and mark the  brainliest if it's helpful.

Answer 2

Magnitude of displacement from Centre to the front edge is $\bold{C)\ \frac{2}{3} \sqrt{10}}$.

To find:

Magnitude of displacement from Centre to the front edge  

Solution:

As per ASA property and considering the above referred diagram,

$\Delta \mathrm{BEC} \cong \triangle \mathrm{DFC}$

So, CF = EC (As corresponding parts of congruent triangles are congruent)

and AE = EC  (Reflection property)

Hence, we can say that $\mathrm{AE}=\mathrm{EC}=\mathrm{CF}=\frac{2}{3}$

So, $\mathrm{AB}^{2}=\mathrm{AE}^{2}+\mathrm{BE}^{2}$

$\begin{array}{l}{=\left(\frac{2}{3}\right)^{2}+(2)^{2}} \\ \\ {=\frac{4}{9}+4} \\ \\ {=\frac{40}{9}} \\ \\ {=\frac{2}{3} \sqrt{10} \text { units }}\end{array}$