Induced charge in conducting plate

[astro2cosmos]

one conducting plate is at origin of xy plane. and +q is at distance of d from y-axis in the direction of z axis. then what is induced charge in conducting plate & how charge is distributed on plate?

 

[Born2bwire]

What is the size of the plate?

 

[Meir Achuz]

If the plate is grounded, the induced charge is -q.
If it is isolated, no net charge can be induced.
You have to use images to get the charge distribution.