**(1)Seg AB is parallel to Y-axis and coordinates of point A are (1,3) then co-ordinates of point B can be …….. .****(A) (3,1) (B) (5,3) (C) (3,0) (D) (1,-3)**

**Solution:**

Given AB parallel to Y axis. So x- coordinate of all points on A will be same.

Co-ordinates of A = (1,3)

Co-ordinates of B can be (1,-3).

Hence Option D is the answer.

**(2) Out of the following, point …….. lies to the right of the origin on X- axis.****(A) (-2,0) (B) (0,2) (C) (2,3) (D) (2,0)**

**Solution:**

If a point is on X axis , y co-ordinate will be zero.

Since the point lies to right of origin, x co-ordinate will be positive.

So (2,0) lies to the right of the origin on X- axis.

Hence option D is the answer

**(3) Distance of point (-3,4) from the origin is …… .****(A) 7 (B) 1 (C) 5 (D) -5**

**Solution:**

Co-ordinates of origin are (0, 0).

Hence if co-ordinates of point P are (x, y) then d(O, P) = √(x^{2}+y^{2})

Distance of (-3,4) from origin = √(-3^{2}+4^{2}) = √(9+16) = √25 = 5

Hence option C is the answer.

**(4) A line makes an angle of 30° with the positive direction of X- axis.****So the slope of the line is ………. .****1/2 (B) √3/2 (C) 1/√3 (D) √3**

**Solution:**

Given angle made by line with positive direction of X axis, = 30˚.

Slope of the line ,m = tan

m = tan 30˚ = 1/√3

Hence option C is the answer.