

y is partly constant and partly varies inversely as x.  y varies inversely as x.  y is partly constant and partly varies as x.  y varies directly as x. 
2. Which of the following statement(s) about the circle C : (xa)^{2}+(y+b)^{2}=a^{2}+b^{2} is/are true?
(I) C passes through the origin
(II)C is divided by the line x + y = a  b into 2 equal parts
(III)The centre of C lies in Quadrant IV
3. Which of the following circle(s) does/do not meet the line x=a, where a>b>0?
I.(x+a)^{2}+y^{2}=3a^{2}+b^{2}
II. (x2a)^{2}+y^{2}=a^{2}+b^{2 }III.x^{2}+(y+b)^{2}=a^{2}?
5. How many common tangents to exactly 2 circles at a time are there in the given diagram?
6.For each of the following,
choose one of the diagrams on the right that best describes the relative
positions of C
and C'
on the left and drag it to the corresponding coloured
box . (Hint: find the distance between the centres of each pair of circles.)
Press the "Submit" button to check the answer.











7.Which of the following graphs represent the line ax+by+c=0 where a<0, b>0 and c<0? 
(Full mark 110)