At which point do the lines \(x=4\) and \(2x+y=11\) intersect on the graph?
Answer and explanation
Correct answer: (4, 3)
The intersection point must satisfy both equations. From the first equation, \(x=4\). Substituting this into the second equation gives \(2(4)+y=11\), so \(y=3\). Therefore, the intersection point is \((4,3)\). Option B reverses the coordinates and does not satisfy \(x=4\). Exam tip: Always substitute the proposed point into both equations to verify it.
Frequently asked questions
What is the correct answer to this question?
(4, 3)
Why is this the correct answer?
The intersection point must satisfy both equations. From the first equation, \(x=4\). Substituting this into the second equation gives \(2(4)+y=11\), so \(y=3\). Therefore, the intersection point is \((4,3)\). Option B reverses the coordinates and does not satisfy \(x=4\). Exam tip: Always substitute the proposed point into both equations to verify it.
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..
