#### Term 1 Coordinate Geometry 5 Marks Questions

9th Standard

Reg.No. :
•
•
•
•
•
•

Maths

Time : 01:00:00 Hrs
Total Marks : 50
10 x 5 = 50
1. Show that the points A(7,10), B(-2,5), C(3,-4) are the vertices of a right angled triangle.

2. Prove that the points A(3, 5), B(6, 2), C(3,-1), and D(0, 2) taken in order are the vertices of a square.

3. Let A(2, 2), B(8, –4) be two given points in a plane. If a point P lies on the X- axis (in positive side), and divides AB in the ratio 1: 2, then find the coordinates of P.

4. Show that (4, 3) is the centre of the circle passing through the points (9, 3), (7,–1), (–1,3). Find the radius.

5. Find the value of ‘a’ such that PQ = QR where P, Q, and R are the points whose coordinates are (6, –1), (1, 3) and (a, 8) respectively

6. Show that the given points (1, 1), (5, 4), (-2, 5) are the vertices of an isosceles right angled triangle.

7. Show that the point (3, -2), (3, 2), (-1, 2) and (-1, -2) taken in order are the vertices of a square.

8. Show that the point A (3,7) B (6, 5) and C (15, -1) are collinear.

9. Find the type of triangle formed by (-1, -1), (1, 1) and ($-\sqrt{13},\sqrt{13}$)

10. Find x such that PQ = QR where P(6, -1) Q (1, 3) and R (x, 8) respectively.