Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in the set S is:
Text Solution
Verified by ExpertsThe correct answer is:
B
JEE Main 2019
One of the possible 
is 
and 
Area of 
But 
or 
For 
or 
and 
or 
Total possible pairs are 8.
Total possible pairs for 
or 
are 
And for 
total possible pairs are 4.
Total number of possible triangles with integral coordinates are 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Consider the set of all lines such that . Which one of the following statements is true?
Let the equations of two sides of a triangle be and . If the orthocentre of this triangle is at (…
If the lines and are perpendicular, then :
A point P moves on the line . If and are fixed points, then the locus of the centroid of is a l…
If the line intersects the -axis at the point A and the -axis at the point B, then the incentre …
Two sides of a parallelogram are along the lines, and . If its diagonals intersect at (2, 4), the…