(B) The "Or" used here is exclusive.Reason: It is impossible for two lines in a plane to both intersect at a point and be parallel simultaneously. Sin

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(B) The "Or" used here is exclusive.Reason: It is impossible for two lines in a plane to both intersect at a point and be parallel simultaneously. Since both conditions cannot be true at the same time,the "Or" is exclusive.

Class 11 Mathematics Mathematical Reasoning Mathematical logic

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For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
Two lines intersect at a point or are parallel.

A
Inclusive "Or"
B
Exclusive "Or"
C
Both
D
Neither

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Class 11

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Mathematical Reasoning

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Mathematical logic

If $ab = 0$,write the contrapositive of the statement $(a = 0 \text{ or } b = 0)$.

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The proposition $(p$ $\Rightarrow \sim p) \wedge (\sim p$ $\Rightarrow p)$ is a

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If $p \rightarrow (q \vee r)$ is false,then what are the truth values of $p, q, r$ respectively?

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State the converse and contrapositive of the following statement:
$p:$ $A$ positive integer is prime only if it has no divisors other than $1$ and itself.

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The expression $(p \wedge \sim q) \vee q \vee (\sim p \wedge q)$ is equivalent to

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For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.Two lines intersect at a point or are parallel.

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If $ab = 0$,write the contrapositive of the statement $(a = 0 \text{ or } b = 0)$.

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If $p \rightarrow (q \vee r)$ is false,then what are the truth values of $p, q, r$ respectively?

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For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
Two lines intersect at a point or are parallel.

State the converse and contrapositive of the following statement:
$p:$ $A$ positive integer is prime only if it has no divisors other than $1$ and itself.