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Mathematics

Which of the following points lie on (i) x-axis? (ii) y-axis?

A(0, 2), B(5, 6), C(23, 0), D(0, 23), E(0, -4), F(-6, 0), G (3\sqrt{3},0).

Coordinate Geometry

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Answer

Given points are A (0, 2), B (5, 6), C (23, 0), D (0, 23), E (0, -4), F (-6, 0), G (3\sqrt{3},0)

(i) If y-coordinate of a point is zero, then the point lies on x-axis.

Hence, C(23, 0), F(-6, 0) and G(3\sqrt{3}, 0) lies on x-axis.

(ii) If x-coordinate of a point is zero, then the point lies on y-axis.

Hence, A(0, 2), D(0, 23) and E(0, -4) lies on y-axis.

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