Integer Solutions of Equations
8 lessons · 9 questions · 6 PYQs
What the exams ask here
- count integer (x,y) with 4x + 7y = 3, |x|, |y| < 100 (Indore 2019 Q16)
- pairs of integers with sum = product (Indore 2019 Q19)
- min m + n with 7m + 11n = 200 (Indore 2025)
- pairs of naturals with x^2 - y^2 = N
- 1/x + 1/y = 1/12 natural solutions; 7(y + 1/y) - 2(y^2 + 1/y^2) = 9 (JIPMAT 2023 Q15)
- integer points with |x-5| + |y-5| <= 6 (Indore 2024 Q7); x^2 + y^2 <= 10 (Indore 2026)
Lessons
- Start hereThe idea and the methodFirst lesson of Integer Solutions of Equations
- 1.Two variable diophantine1 question + fresh variants
- 2.Sum equals product2 questions + fresh variantsIndore 2019 SA
- 3.Bounded solutions1 questionIndore 2019 SA
- 4.Min sum under linear constraint1 question + fresh variantsIndore 2025 SA
- 5.Difference of squares pairs1 question + fresh variants
- 6.Reciprocal sum equation1 questionJIPMAT 2023
- 7.Lattice points in region2 questions + fresh variantsIndore 2024 SA