Maxyn Koh's answer to Tricia Chew's Secondary 3 A Maths Singapore question.

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Maxyn Koh
Maxyn Koh's answer
29 answers (Tutor Details)
1st
once you recognise its the equation of a circle then its just solving discriminants. Since theres only 1 root, b^2 - 4ac =0
Tricia Chew
Tricia Chew
4 years ago
Tks for your help!
Eric Nicholas K
Eric Nicholas K
4 years ago
I don’t think Sec 3 students have learnt equations of circles at this point though.

Grapes, you can just use the usual discriminant of roots properties to prove this question.
Tricia Chew
Tricia Chew
4 years ago
Could you explain how to do that?
Eric Nicholas K
Eric Nicholas K
4 years ago
It’s as Maxyn has done, except that you do not need to know at this point of time that the shape of the curve is a circle.
Tricia Chew
Tricia Chew
4 years ago
I’ve got part (i) but how do I do part (ii) without using the equation of circles method?
Eric Nicholas K
Eric Nicholas K
4 years ago
Part ii is just plain throwing suitable values of and c. You can like say select your values of m and then obtain c thereafter.