1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VII
Mathematics
Point Symmetry
Lattice point...
Question
Lattice points on a rectangular coordinate plane are defined as the points whose both the coordinates are integers. Find the number of lattice points in the region defined by |x|+|y|=5.
Open in App
Solution
Suggest Corrections
0
Similar questions
Q.
We define a lattice point as a point whose coordinates are integers, zero admitted. Then the number of lattice points on the boundary and inside the region bounded by the x-axis, y-axis, the line
x
=
4
, and the line
y
=
4
is:
Q.
The number of lattice points (lattice points are points with both coordinate integers) on the circle with centre (199, 0) and radius 199 is
___
Q.
Choose the correct option for the given statements
Statement-1 : The orthocentre of the triangle, the equation of whose sides are 2x+3y-5=0, x+y=5 and 3x-2y-1=0, is (1, 1).
Statement-2: If in a triangle, orthocentre, circumcentre and centroid are lattice points, then its vertices must also be lattice points (the points whose coordinates are integers).
Statement-3: If two lines are perpendicular, then product of their slopes is -1
Q.
A circle K centered at
(
0
,
0
)
is given. Prove that for every vector
(
a
1
,
a
2
)
there is a positive integer n such that the circle K translated by the vector
n
(
a
1
,
a
2
)
contains a lattice point (i.e., a point both of whose coordinates are integers)
Q.
A mineral having formula
A
B
2
crystallises in the cubic close-packed lattice, with the
A
atoms occupying the lattice points. Hence coordination number of
A
and
B
atoms are:
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Introduction to Symmetry
MATHEMATICS
Watch in App
Explore more
Point Symmetry
Standard VII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app