Coordinate Geometry

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

1. If points Q and R reflections of point P(- 3, 4) in X and Y axes respectively, then QR is .
2. The values of x for which the distance between the point P(2, - 3) and Q(x, 5) is 10 is (, - ).
3. The ratio in which the line segment joining the points A(3, - 6) and B(5, 3) is divided by X-axis is : .
4. The distance between the points

(- \frac{8}{5}, 2)

and

(\frac{2}{5}, 2)

is .
5. If P(2, 6) is the mid-point of the line segment joining A(6, 5) and B(4, y), then y = .
6. If the distance between the points (3, 0) and (0, y) is 5 units and y is positive, then the value of y is .
7. If P(x, 6) is the mid-point of the line segment joining A(6, 5) and B(4, 7, then x= .
8. If P(2, p) is the mid-point of the line segment joining the points A(6, - 5) and B(- 2, 11), the value of p is .
9. If the centriod of a triangle formed by the points (0,0),

(\cos θ, \sin θ)

and

(\sin θ, - \cos θ)

lies on the line y = 2x, then the value of

\tan θ

is - .
10. The distance between the lines 4x + 3y - 11 = 0 and 8x + 6y - 15 = 0 is

\frac{7}{x}

units, the value of x is .

Coordinate Geometry

Gap-fill exercise