Modulus (Absolute Value)

13 lessons · 39 questions · 9 PYQs

What the exams ask here

min |x-a|+|x-b|+|x-c|
solve |x^2-5x|=6
integral n with (|n+6|-|n-3|)/(100-n^2) >= 0
max b when |a-b|+|b-c|=|c-a|
min of |3 - x| + |2 + x| + |5 - x| (Indore 2020 SA Q5)
weighted |x| + 2|x - 1| + ... + 2|x - 10| (Indore 2022 SA Q6)
x^2 + |x + 4| + |x - 4| - 35 = 0 sum of squares of roots (Indore 2022 Q35)
|x + 1| + (y + 2)^2 = 0 (Indore 2024 Q17); x^2 - 10|x| - 56 = 0 (Indore 2024 Q39)
x^2 - |x + 2| + x > 0 (Rohtak 2019)
max b with |a - b| + |b - c| = |c - a| (Indore 2025 SA)
(|n + 6| - |n - 3|)/sqrt(100 - n^3) >= 0 (Indore 2026 SA, memory-based)
|x| + x + y = 10 and x + |y| - y = 12 (sign cases)
(|r| + 5)(|s| - 3) = -24: integer pairs
|a + b| = |a| + |b| iff ab >= 0