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The graph of $x − y = 0$ passes through which of the below given points?

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− 1 2, 12

32, − 3 2

(0, − 1)

(1, 1)

answer is D.

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Detailed Solution

Given equation is

x − y = 0

⇒ y − x = 0 ⇒ y = x

Consider the point

− 1 2, 12

⇒ − 1 2 ≠ 12 ⇒ x ≠ y

Consider the point

32, − 3 2

⇒ 32 ≠ − 3 2 ⇒ x ≠ y

.
Consider the point

(0, − 1)

⇒ 0 ≠ − 1 ⇒ x ≠ y

.
Consider the point

(1, 1)

⇒ 1 = 1 ⇒ x = y

.
Therefore,

(1, 1)

is the point where the graph of

x − y = 0

passes through.
Hence, 4 is the right option.

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