If A, B, C are three sets such that A ∩ B = A ∩ C and A∪ B =A∪ C, then

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

B = C

A ∩ B = ϕ

A = B

A = C

answer is A.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

Let x∈ B ⇒ x ∈ A ∪ B⇒ x∈ A∪ C⇒x∈ A or x∈ CIf x∈ A , then x∈A∩B=A∩C⇒x∈CSo, x∈ B⇒x∈CSimilarly x∈B⇒x∈ C , Hence B = C .

Watch 3-min video & get full concept clarity