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#### Coordinate Geometry Five Marks Questions

10th Standard EM

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
10 x 5 = 50
1. The line r passes through the points (–2, 2) and (5, 8) and the line θ passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to θ ?

2. The line p passes through the points (3, - 2), (12, 4) and the line q passes through the points (6, -2) and (12, 2). Is parallel to q ?

3. Show that the straight lines 2x + 3y - 8 = 0 and 4x + 6y + 18 = 0 are parrel.

4. Show that the straight lines x - 2y + 3 = 0 and 6x + 3y + 8 = 0 are perpendicular.

5. A(1, -2), B(6, -2), C(5, 1) and D(2, 1) be four points

6. Find the slope of the line which is
perpendicular to 2x - 3y + 8 = 0

7. Find the coordinates of the point of contact of line AB with the circle.

8. Find the coordinates at the points of trisection (i.e. points dividing in three equal parts) of the line segment joining the points A(2, -2) and B(-7, 4).

9. If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

10. Find the area of a triangle whose vertices are (1, -1), (-4, 6) and (-3, -5).