Fill in the blanks using correct alternatives.

(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) = √(x²+y²)
Distance of (-3,4) from origin = √(-3²+4²) = √(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.