Using which points can the line 3x + 6y = 24 be drawn?
Answer and explanation
Correct answer: (8, 0) and (0, 4)
The governing idea is that two distinct points determine a straight line. For the x-intercept, put y = 0: 3x = 24, so x = 8, giving (8, 0). For the y-intercept, put x = 0: 6y = 24, so y = 4, giving (0, 4). Thus option C gives both correct points; the other pairs contain incorrect intercepts or points not satisfying the equation.
Frequently asked questions
What is the correct answer to this question?
(8, 0) and (0, 4)
Why is this the correct answer?
The governing idea is that two distinct points determine a straight line. For the x-intercept, put y = 0: 3x = 24, so x = 8, giving (8, 0). For the y-intercept, put x = 0: 6y = 24, so y = 4, giving (0, 4). Thus option C gives both correct points; the other pairs contain incorrect intercepts or points not satisfying 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..
