Sec 3 Maths Problem

Hi,

Can someone help me with the Maths below?

Thanks.

A Maths - Question 7 & 8

E Maths - Part (C)

Hi,

For Q7:

1. Find the centre (say C) of the circle by completing the square (or otherwise).

2. Draw a diagram containing the centre (C), the point M and the chord.

3. Draw a line joining the centre and one end (say N) of the chord.

4. Notice that we have a right-triangle with vertices CMN. Find the y-coordinate of N.

5. With y-coordinate of N, find the equation of the chord.

Thanks.

Cheers,
Wen Shih

Hi,

For Q8:

1. First, note that centre, say C, of the circle is (x, -2x - 1).

2. Use the fact that the distances AC and BC are equal, to find x.

3. With x found, coordinates of C and radius will be known and the equation of the circle can then be established.

Thanks.

Cheers,
Wen Shih

Hi,

For EM Q8:

(a) Use Sine rule on isoceles triangle EBC.

(b) Apply Pythagoras' theorem on right-triangle ABE.

Thanks.

Cheers,
Wen Shih