At which point will the lines (x=4) and (y=9) meet?
Answer and explanation
Correct answer: ( (4,9) )
The equation x=4 describes a vertical line. Every point on it has horizontal coordinate 4, while its vertical coordinate can be any real number. Similarly, y=9 describes a horizontal line. Every point on it has vertical coordinate 9, while its horizontal coordinate can be any real number.
Their common point must satisfy both conditions simultaneously: its x-coordinate must be 4 and its y-coordinate must be 9. Therefore the intersection is (4,9), so option B is correct. The order matters in an ordered pair: (9,4) would have x=9 and y=4, so it does not satisfy either required combination. Points (4,0) and (0,9) lie on only one of the two lines.
Frequently asked questions
What is the correct answer to this question?
( (4,9) )
Why is this the correct answer?
The equation x=4 describes a vertical line. Every point on it has horizontal coordinate 4, while its vertical coordinate can be any real number. Similarly, y=9 describes a horizontal line. Every point on it has vertical coordinate 9, while its horizontal coordinate can be any real number.
Their common point must satisfy both conditions simultaneously: its x-coordinate must be 4 and its y-coordinate must be 9. Therefore the intersection is (4,9), so option B is correct. The order matters in an ordered pair: (9,4) would have x=9 and y=4, so it does not satisfy either required combination. Points (4,0) and (0,9) lie on only one of the two lines.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Graphical method of finding solutions..
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