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On Which Axis Do the Following Points Lie? P(5, 0) - Mathematics

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प्रश्न

On which axis do the following points lie?

P(5, 0)

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उत्तर

According to the Rectangular Cartesian Co-ordinate system of representing a point (x, y),

If x >  0, y > 0 then the point lies in the 1st quadrant

If x < 0, y > 0 then the point lies in the 2nd quadrant

If x < 0, y < 0  then the point lies in the 3rd quadrant

If x > 0, y < 0 then the point lies in the 4th quadrant

But in case

if `x = 0, y != 0`then the point lies on the y-axis

if `y =0, x != 0` then the point lies on the x-axis

Here the point is given to be (5, 0). Comparing this with the standard form of

(x, y) we have

x = 5

y = 0

Here we see that `y = 0, x != 0`

Hence the given point lies on the x-axis

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अध्याय 6: Co-Ordinate Geometry - Exercise 6.1 [पृष्ठ ४]

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आरडी शर्मा Mathematics [English] Class 10
अध्याय 6 Co-Ordinate Geometry
Exercise 6.1 | Q 1.1 | पृष्ठ ४

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