{The number of points represented by the equation }x = 5{ on the xy-plane is}

Correct Answer is : Infinitely many

Correct Answer is : Infinitely many

Test Index

UPSC NDA I 2024 Mathematics Paper

Question : 53 of 120

Marks: +1, -0

\text{The number of points represented by the equation }

\text{ on the xy-plane is}

Solution:

Concept:

The equation

x = 5

represents a vertical line parallel to the

y

-axis in the

xy

-plane.

Explanation:

In the

xy

-plane,

x = 5

means the

x

-coordinate is fixed at

5

, but the

y

-coordinate can be any real number.

This gives infinitely many points of the form

(5, y)

Therefore, the graph of

x = 5

is a straight line containing infinitely many points.

Answer:

Infinitely many (Option D).

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