Question

Which of the following points lie on the x-axis?
(i) A(0, 8)
(ii) B(4, 0)
(iii) C(0, –3)
(iv) D(–6, 0)
(v) E(2, 1)
(vi) F(–2, –1)
(vii) G(–1, 0)
(viii) H(0, –2)

Answer 1

(i) A(0, 8)
The given point does not lies on the x-axis.

(ii) B(4, 0)
The ordinate of the point (4, 0) is zero.
Hence, the (4, 0) lies on the x-axis.

(iii) C(0, –3)
The given point does not lies on the x-axis.

(iv) D(–6, 0)
The ordinate of the point (–6, 0) is zero.
Hence, the (–6, 0) lies on the x-axis.

(v) E(2, 1)
The given point does not lies on the x-axis.

(vi) F(–2, –1)
The given point does not lies on the x-axis.

(vii) G(–1, 0)
The ordinate of the point (–1, 0) is zero.
Hence, the (–1, 0) lies on the x-axis.

(viii) H(0, –2)
The given point does not lies on the x-axis.