Coordinate Geomtery Grade IX

Self Assessment Test 3

Based on Chapter 3

Time: 1 hour

M.M. 25

Note: Q. 1-2 carry 1 mark each, Q. 3 - 5 carry 2 marks each, Q. 6-8 carry 3 marks each and Q. 9-10 carry 4 marks each.

1. What are the signs of a point in 2nd quadrant?

2. What is the distance of the point \(A(-2,-3)\) from y-axis?

3. Plot the points \(P(2,-1)\), \(Q(0,5)\), \(C(3,4)\) and \(D(-3,-5)\) in the cartesian plane.

4. A point \(R\) is at a distance of 3 units from the x-axis and 7 units from y-axis and is in 3rd quadrant. Write the coordinates of \(R\).

5. Which of the following points lie in quadrant IV? \(L(3,-5)\), \(M(5,-3)\), \(N(-2,-1)\), \(P(1,2)\), \(Q(2,-7)\) and \(R(-1,-1)\)

6. Plot the points \(A(2,0)\), \(B(0,2)\), \(C(-2,0)\) and \(D(0,-2)\). What type of figure is ABCD ?

7. Find the values of \(x\) and \(y\) if \((3x-7,2y+11)=(2x-3,2-y)\)

8. The points \(E(2,4)\), \(F(-5,4)\) and \(H(2,-3)\) are the vertices of a square EFGH. Plot the points on the graph paper and hence, find the coordinates of \(G\).

9. Plot the points \((-4,-10)\),\((-2,-4)\),\((0,2)\),\((2,8)\) and \((4,14)\) and show that they are collinear.

10. The following table gives the cost of different number of toys.

    \(x\) (number of toys)	2	4	6	8	10	12	15
    \(y\) (cost in ₹)	20	40	60	80	100	120	150

    Plot the points (as ordered pairs) and join them.