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Question

Choose the correct alternative answer for the following question.

Any point on the line y=x is of the form of:


A

(b,b)

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B

(0,b)

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C

(b,0)

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D

None of these

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Solution

The correct option is A

(b,b)


Step-1: Explanation for the correct option:

Option (A): Given equation of the line is y=x

Substitute the point (b,b) in the given equation y=x

b=b

L.H.S.= R.H.S.

The point (b,b) satisfies the given equation

Thus option (A) is correct

Step-2: Explanation for the incorrect options

Option (B): Given equation of the line is y=x

Substitute the point (0,b) in the given equation y=x

b0

L.H.S. R.H.S.

The point (0,b) does not satisfy the given equation

Thus option (B) is incorrect

Option (C): Given equation of the line is y=x

Substitute the point (b,0) in the given equation y=x

0b

L.H.S. R.H.S.

The point (b,0) does not satisfy the given equation

Thus option (C) is incorrect

Hence, the correct option is option (A)


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