Using which points can the line 2x + 4y = 16 be drawn?
Answer and explanation
Correct answer: (8, 0) and (0, 4)
For a straight line, any two distinct points satisfying the equation can be used. Put y = 0: 2x = 16, so x = 8, giving (8, 0). Put x = 0: 4y = 16, so y = 4, giving (0, 4). Thus option C gives the two intercepts. The other pairs contain at least one point that does not satisfy the equation.
Frequently asked questions
What is the correct answer to this question?
(8, 0) and (0, 4)
Why is this the correct answer?
For a straight line, any two distinct points satisfying the equation can be used. Put y = 0: 2x = 16, so x = 8, giving (8, 0). Put x = 0: 4y = 16, so y = 4, giving (0, 4). Thus option C gives the two intercepts. The other pairs contain at least one point that does not satisfy the equation.
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..
