Revision for Sec 3 EOY Exam

Which of the following is correct on the discriminant?

• $b^2-4ac=0$

• $b^2-4ac>0$

• $b^2-4ac<0$

• $b^2-4ac\ge0$

• $b^2-4ac\le0$

The graph

 $f\left(x\right)=-2\left(x-\frac{1}{2}\right)^2+\frac{4}{5}$  has a ________ value of ______ when  $x=$  ________.

• maximum;  $\frac{4}{5}$  ;  $\frac{1}{2}$  

• maximum;   $\frac{4}{5}$ ;  $-\frac{1}{2}$   

• minimum;   $-\frac{4}{5}$  ;  $\frac{1}{2}$  

• minimum;   $\frac{4}{5}$  ;  $-\frac{1}{2}$  

Check the box(es) which is/are true.

•  $\sin\left(\frac{\pi}{2}-x\right)=\cos\ x$  

•  $\cos\left(90\degree-\theta\right)=\sin\theta$  

•  $\tan\left(90\degree-\theta\right)=\frac{1}{\tan\theta}=\cot\theta$  

•  $\cos\left(-x\right)=-\cos x$ 

•  $\cos^2\theta=1-\sin^2\theta$  

Note: The same diagram will be used for Qn 4 and Qn 5.

Find the value of p.

Find the value of q.

Find the equation of AC in the form

 $y=mx+c$  . (Property of kite: The longer diagonal will bisect the shorter diagonal.)

Find the coordinates of  $C$  . (Hint: The perpendicular bisector of any chord will pass through the centre of the circle.)