When an object is kept at a distance of $30\, cm$ from a concave mirror,the image is formed at a distance of $10\, cm$ from the mirror. If the object is moved with a speed of $9\, cm/s$,the speed (in $cm/s$) with which the image moves at that instant is:

$A$ point object is moving uniformly towards the pole of a concave mirror of focal length $25 \ cm$ along its axis as shown below. The speed of the object is $1 \ ms^{-1}$. At $t=0$,the distance of the object from the mirror is $50 \ cm$. The average velocity of the image formed by the mirror between time $t=0$ and $t=0.25 \ s$ is

$A$ plane mirror is placed along the $x$-axis facing the negative $y$-axis. The mirror is fixed. $A$ point object is moving with a velocity of $3\hat{i} + 4\hat{j}$ in front of the plane mirror. Find the relative velocity of the image with respect to the object.

The speed at which the image of a luminous point object is moving,if the luminous point object is moving at speed $v_0$ towards a spherical mirror along its axis,is (Given: $r =$ radius of curvature,$u =$ object distance):

$A$ particle is moving with velocity $\vec{v}_p = (\hat{i} + 2\hat{j} + 3\hat{k}) \text{ m/s}$. $A$ plane mirror exists in the $x-y$ plane. The mirror has a velocity $\vec{v}_m = (\hat{i} + 2\hat{j}) \text{ m/s}$. The velocity of the image (in $\text{m/s}$) is:

Choose the correct statement$(s)$ related to the motion of an object and its image in the case of mirrors.