Mathematics
A point lies on y-axis at a distance of 2 unit from x-axis. Its co-ordinates are :
(2, 0) only
(0, 2) only
(2, 2)
(0, 2) or (0, -2)
Coordinate Geometry
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Answer
If a point lies on the y‑axis, its x‑coordinate is 0.
If it’s at a distance of 2 units from the x‑axis, that means its y-coordinate is either +2 or −2 (since distance ignores sign).
Its co-ordinates are (0, 2) or (0, -2).
Hence, option 4 is the correct option.
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For point P(-5, 4):
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ordinate = 4, abscissa = -5
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abscissa = ordinate = 4
If the perpendicular distance of a point P from the x-axis is 5 unit then the point P has
x-co-ordinate = -5
y-co-ordinate = 5 only
y-co-ordinate = -5 only
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Three vertices of a square ABCD are A(2, 0), B(-3, 0) and C(-3, -5). Its fourth vertex D is:
(2, 5)
(2, -5)
(-2, 5)
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Statement 1: In the given diagram, OAB is an equilateral triangle.
Co-ordinates of the vertex B = (4, 4)
Statement 2: B = (4, )
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Both the statements are false.
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Statement 1 is false, and statement 2 is true.