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Coordinate Geometry — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSCoordinate Geometry1 Mark
Question
Which of the following points does not lie in any quadrant?
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Answer

  1. (4, 12)
    Solution:
    For the point to lie on the line y = 3x + 4, it has to satisfy the equation of the line.
    Putting x = 1, in y = 3x + 4, we get y = 3(1) + 4 ⇒ y = 7
    So, the point satisfies the equation and hence lies on the given line.
    Putting x = 2, in y = 3x + 4, we get y = 3(2) + 4 ⇒ y = 10
    So, the point satisfies the equation and hence lies on the given line.
    Putting x = 1, in y = 3x + 4, we get y = 3(-1) + 4 ⇒ y = 1
    So, the point satisfies the equation and hence lies on the given line.
    Putting x = 4, in y = 3x + 4, we get y = 3(4) + 4 ⇒ y = 16
    But y = 12.
    So, the point not satisfy the equation and hence lies on the given line.

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