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Modulus
Modulus

Modulus Equations PYQ | JEE Main 2025 | Sign Condition Trick

❓ Question If ∣ x + y ∣ + ∣ x − y ∣ = 2 ∣ x ∣ |x+y|+|x-y|=2|x| and ∣ x + 1 ∣ + ∣ 5 − x ∣ = 6 , |x+1|+|5-x|=6, then find the possible values of x…

Modulus Inequalities PYQ | JEE Main 2025 | Fastest Method

❓ Question Find the number of solutions of ∣ 2 x − 1 ∣ + ∣ 4 − 2 x ∣ < 3. |2^x-1|+|4-2^x|<3. ✍️ Solution Let t = 2 x ( t > 0 ) . t=2^…

Find Value Using Vector Magnitude Relations

Question: Let a and b be vectors of the same magnitude such that ∣ a + b ∣ ∣ a − b ∣ = 2 + 1. Then the value of ∣ a + b ∣ + ∣ a − b ∣ ∣ a + b …