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# Help Aking do his maths workbook :D watch

1. Hey people I am currently trying to finish my collins aqa further maths practice book
so i thought I could post some questions which i don't understand / need help with...

Q1. y^2 + x^2 = 25 (circle equation) where does the line y=3/4 x cross the circle ? ( solved )

I didn't understand these questions..... So if anyone can explain the answers it will be helpful

Q2. The coordinates of the point P are (-3,-2) and the coordinates of the point Q are ( 6,4) PQR is a straight the line and PQ:QR = 4:1

a) work out the coordinates of Q
b) A triangle has its vertices at A(5,2) , B (1, -2) , C (-1,4 )
c) Show that ABC is an isosceles triangle
d) Find the are of the triangle
2. Solve the simultaneous equations.

Spoiler:
Show
Substitute the equation of the line for y in the circle equation and solve for x.
3. (Original post by aking144)
Hey people I am currently trying to finish my collins aqa further maths practice book
so i thought I could post some questions which i don't understand / need help with...

Q1. y^2 + x^2 = 25 (circle equation) where does the line y=3/4 x cross the circle ?
just substitute into the circle equation emitting y, then solve for x, then substitute your x values in to find y.
4. would it be :

x^2 + (3/4 x)^2 = 25

2(9/16)x^2 = 25

9/8 x^2 = 25
Am I Doing a step wrong ?
5. (Original post by aking144)
would it be :

x^2 + (3/4 x)^2 = 25

2(9/16)x^2 = 25

9/8 x^2 = 25
Am I Doing a step wrong ?
6. (Original post by Mr M)
makes a lot more sense
7. I didn't understand these questions..... So if anyone can explain the answers it will be helpful

Q2. The coordinates of the point P are (-3,-2) and the coordinates of the point Q are ( 6,4) PQR is a straight the line and PQ:QR = 4:1

a) work out the coordinates of Q
b) A triangle has its vertices at A(5,2) , B (1, -2) , C (-1,4 )
c) Show that ABC is an isosceles triangle
d) Find the are of the triangle

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