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    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
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    Solve the simultaneous equations.

    Spoiler:
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    Substitute the equation of the line for y in the circle equation and solve for x.
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    (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 \frac{3}{4} x into the circle equation emitting y, then solve for x, then substitute your x values in to find y.
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    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 ?
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    (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 ?
    1+\frac{9}{16} \neq \frac{9}{8}
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    (Original post by Mr M)
    1+\frac{9}{16} \neq \frac{9}{8}
    makes a lot more sense
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    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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