Question

The number of points (x,y) having integral coordinates satisfying the condition x^{​​​​​​2} + y^{​​​​​​2} <25 is?

Answer 1

Firstly draw the diagram Of circle and to find the integral points which lie in the circle are as first count the x axis and y axis point they are 17 i.e for x=0 and y=0 respectively , now fix x=1 and vary y u will get 8 points similarly for x=-1 u will get 8 points now for x=2 u will get 8 points similarly for x=-2 u will get 8 points. Now for x=3 u Will get 6 points and similarly for x=-3 u will get 6 points . Now for x=4 u will get 4 points and similarly for x=-4 u will get 4 points . Now add all points it comes out to be 69 Hope this helps :)