Which point does not lie on the line 5x + 11y = 55?
Answer and explanation
Correct answer: (4, 3)
The governing concept is testing whether a point lies on a line by substitution. A point (x, y) lies on 5x + 11y = 55 only when its coordinates make the left-hand side equal to 55. For (11, 0), 5(11) + 11(0) = 55, so it lies on the line. For (0, 5), 5(0) + 11(5) = 55, so it also lies on the line. For (22/5, 3), 5(22/5) + 11(3) = 22 + 33 = 55, so this point is valid as well. For (4, 3), the value is 5(4) + 11(3) = 20 + 33 = 53, not 55. Therefore option D is the only point that does not lie on the line.
Frequently asked questions
What is the correct answer to this question?
(4, 3)
Why is this the correct answer?
The governing concept is testing whether a point lies on a line by substitution. A point (x, y) lies on 5x + 11y = 55 only when its coordinates make the left-hand side equal to 55. For (11, 0), 5(11) + 11(0) = 55, so it lies on the line. For (0, 5), 5(0) + 11(5) = 55, so it also lies on the line. For (22/5, 3), 5(22/5) + 11(3) = 22 + 33 = 55, so this point is valid as well. For (4, 3), the value is 5(4) + 11(3) = 20 + 33 = 53, not 55. Therefore option D is the only point that does not lie on the line.
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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