shinjini das

CAT Preparation Community 6y ago

Find all tje integral points which satisfy x^2 + y^2<35.I can,t find the solution using Pick's formula.Please help.

4

Boga 5 6y ago

Is the answer 95?

Surojit Halder 6y ago

lol, its 109.

Gaurav Nayak 6y ago

It's a circle whose radius is just under 6 units

Surojit Halder 6y ago

Basically the quadrant of a circle with radius (root 35) and centre at origin will encompass a square of side 25. So it encompasses 25 integral points at least. Now the remaining area of the quadrant is 2.4889 which will have 2 integral points. So each quadrant encompasses 27 integral points excluding the origin. Overall, 27*4 +1 gives 109 integral points.

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