Coordinate geometry hard

Coordinate Geometry Quiz (Hard)

1. The coordinates of the point of intersection of x-axis and y-axis are:

a) (0, 0) b) (1, 0) c) (0, 1) d) (1, 1)

2. If the point (p, q) lies on the line 2x - 3y = 5, what is the value of 'p + q'?

a) 3 b) 5 c) 7 d) 9

3. The line 2x - 3y = 8 is parallel to which axis?

a) x-axis b) y-axis c) neither x-axis nor y-axis d) both x-axis and y-axis

4. The slope of a line parallel to the x-axis is:

a) 0 b) 1 c) Undefined d) Infinite

5. The coordinates of the point which divides the line segment joining (-3, 2) and (5, 7) internally in the ratio 3:2 are:

a) (2, 3) b) (4, 5) c) (3, 4) d) (5, 6)

6. The equation of the line passing through the points (-1, 4) and (2, 7) is:

a) y = x + 3 b) y = x - 3 c) y = -x + 3 d) y = -x - 3

7. The distance between the points (x1, y1) and (x2, y2) is given by:

a) √(x1 - x2)^2 + (y1 - y2)^2 b) √(x2 - x1)^2 + (y2 - y1)^2 c) √(x1 + x2)^2 + (y1 + y2)^2 d) √(x2 + x1)^2 + (y2 + y1)^2

8. The equation of the y-axis is:

a) y = 0 b) x = 0 c) x = y d) y = x

9. The line y = mx is:

a) parallel to x-axis b) parallel to y-axis c) passing through the origin d) neither parallel to x-axis nor y-axis

10. The equation of the line passing through the point (0, 1) and perpendicular to the line 3x - 2y = 5 is:

a) 2x + 3y = 7 b) 3x + 2y = 5 c) 2x - 3y = 7 d) 3x - 2y = 1