Relations and Functions
Madhya Pradesh Board · Class 11 · Mathematics
Flashcards for Relations and Functions — Madhya Pradesh Board Class 11 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Find A × B for A = {red, blue} and B = {b, c, s}.
Answer
Step 1: List each element of A with each element of B. Step 2: Pair red with b, c, s. Step 3: Pair blue with b, c, s. Step 4: Write all ordered pairs. Answer: A × B = {(red, b), (red, c), (red, s), (b…
A × B ज्ञात कीजिए, जहाँ A = {red, blue} और B = {b, c, s}.
Answer
चरण 1: A के प्रत्येक अवयव को B के प्रत्येक अवयव के साथ लिखिए। चरण 2: red को b, c, s के साथ युग्मित कीजिए। चरण 3: blue को b, c, s के साथ युग्मित कीजिए। चरण 4: सभी क्रमित युग्म लिखिए। उत्तर: A × B = {(r…
If n(A) = 3 and n(B) = 4, how many elements are in A × B?
Answer
Use n(A × B) = pq. Step 1: Here p = 3 and q = 4. Step 2: Multiply: 3 × 4 = 12. Answer: n(A × B) = 12…
यदि n(A) = 3 और n(B) = 4 है, तो A × B में कितने अवयव होंगे?
Answer
n(A × B) = pq का उपयोग कीजिए। चरण 1: यहाँ p = 3 और q = 4 है। चरण 2: गुणा कीजिए: 3 × 4 = 12। उत्तर: n(A × B) = 12…
Why is A × B not equal to B × A in general?
Answer
The order of elements in an ordered pair matters. Step 1: In A × B, the first element comes from A and the second from B. Step 2: In B × A, the first element comes from B and the second from A. Step 3…
सामान्यतः A × B, B × A के बराबर क्यों नहीं होता?
Answer
क्रमित युग्म में अवयवों का क्रम महत्वपूर्ण होता है। चरण 1: A × B में पहला अवयव A से और दूसरा B से आता है। चरण 2: B × A में पहला अवयव B से और दूसरा A से आता है। चरण 3: इसलिए सामान्यतः (a, b), (b, a) के…
If P = {a, b, c} and Q = {r}, find P × Q and Q × P.
Answer
Step 1: Pair each element of P with r. P × Q = {(a, r), (b, r), (c, r)} Step 2: Pair r with each element of P. Q × P = {(r, a), (r, b), (r, c)} Step 3: Compare the pairs. Answer: P × Q ≠ Q × P…
यदि P = {a, b, c} और Q = {r} है, तो P × Q और Q × P ज्ञात कीजिए।
Answer
चरण 1: P के प्रत्येक अवयव को r के साथ युग्मित कीजिए। P × Q = {(a, r), (b, r), (c, r)} चरण 2: r को P के प्रत्येक अवयव के साथ युग्मित कीजिए। Q × P = {(r, a), (r, b), (r, c)} चरण 3: युग्मों की तुलना कीजि…
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