0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

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

A
901
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
861
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
820
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
780
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct option is B 780Required point (x,y) is such that it satisfiesx+y<41and x>0 and y>0Number of positive integral solutions of the equation x+y+k=41 will be number of integral coordinates in the bounder region.∴ the total number of integral coordinates,=41−1C3−1=40C2=40!2!38!=40×392=20×39=780

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Defining Conics
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program