If x - y- -x-y- - -y-x- and-x-y- - -y-x- if x - y- True-False-

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Byju's Answer

Standard IX

Mathematics

Plotting Points in Cartesian Plane

If x ≠ y, (x,...

Question

If x ≠ y, (x,y) ≠ (y,x) and (x,y) = (y,x), if x = y.

True

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False

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Solution

The correct option is A
True

True.
(2, 3) is not the same as (3, 2) as the coordinates indicate the distances from the coordinate axes. (x, y) is the same as (y, x) only when x = y.

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Similar questions

In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

(i) If x ∈ A and A ∈ B, then x ∈ B

(ii) If A ⊂ B and B ∈ C, then A ∈ C

(iii) If A ⊂ B and B ⊂ C, then A ⊂ C

(iv) If A ⊄ B and B ⊄ C, then A ⊄ C

(v) If x ∈ A and A ⊄ B, then x ∈ B

(vi) If A ⊂ B and x ∉ B, then x ∉ A

Q. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example. (i) If x ∈ A and A ∈ B, then x ∈ B (ii) If A ⊂ B and B ∈ C, then A ∈ C (iii) If A ⊂ B and B ⊂ C, then A ⊂ C (iv) If A ⊄ B and B ⊄ C, then A ⊄ C (v) If x ∈ A and A ⊄ B, then x ∈ B (vi) If A ⊂ B and x ∉ B, then x ∉ A

Q. In each of the following, determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.
(i) If

x \in A

and

A \in B

, then

x \in B

(ii) If

A \subset B

and

B \in C

, then

A \in C

(iii) If

A \subset B

and

B \subset C

, then

A C

(iv) If

A \subset̸ B

and

B \subset̸ C

, then

A \subset̸ C

(v) If

x \in A

and

A \subset̸ B

, then

x \in B

(vi) If

A \subset B

and

x \notin B

, then

x \notin A

Q. Assertion: If p(x) = x³ − ax² + 6x − a is divided by (x − a), then the remainder is 5a.
Reason: If p(x) is divided by (x − a),then the remainder is p(a).

(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true and but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion: If (x − 1) is a factor of p(x) = x² + kx + 1, then k = −2.
Reason: If (x − a) is a factor of p(x), then p(a) = 0.

(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true and but Reason is not a correct explanation of assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

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If x ≠ y, (x,y) ≠ (y,x) and (x,y) = (y,x), if x = y.

The correct option is A True True. (2, 3) is not the same as (3, 2) as the coordinates indicate the distances from the coordinate axes. (x, y) is the same as (y, x) only when x = y.

The correct option is A
True

True.
(2, 3) is not the same as (3, 2) as the coordinates indicate the distances from the coordinate axes. (x, y) is the same as (y, x) only when x = y.