The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices (0, 0), (0, 41) and (41, 0), is :

  • Option 1)

    901

  • Option 2)

    861

  • Option 3)

    820

  • Option 4)

    780

 

Answers (2)

As we learnt in

Line parallel to the y-axis -

x= b

- wherein

The line passes through the point (b,o).

 

 

 Number of integral points on the line x=1,\:is \:39

number of integral points an the line x=2 \:is: 38

similarly we get 

Total integral points = 39+38+.....2+1

=\frac{39.40}{2}

= 780


Option 1)

901

Incorrect

Option 2)

861

Incorrect

Option 3)

820

Incorrect

Option 4)

780

Correct

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