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  • The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices (0, 0), (0, 21) and (21, 0) is<div class='qna-o

The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices (0, 0), (0, 21) and (21, 0) is

Option: 1

133


Option: 2

190


Option: 3

233


Option: 4

105


Answers (1)

best_answer

The number of integral solution to the equation x+y<21 \text { i.e., } x<21-y

Number of integral co-ordinates =19+18+\ldots \ldots \ldots+1=\frac{19 \times 20}{2}=190

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Deependra Verma

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