Dividing a line in a given ratio (AQA GCSE Further Maths): Quizzes

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Dividing a line in a given ratio
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12 questions from this quiz

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What does the section formula help you find?

Coords of point dividing a line segment

If CC divides ABAB in ratio p:qp:q, what is the x-coord formula?

qx1+px2p+q\frac{qx_1 + px_2}{p + q}

The section formula uses weighted averages. What are the weights?

The ratio values

What does the notation AC:CB=2:3AC:CB = 2:3 mean?

Distance A to C vs C to B is 2 to 3

What is internal division?

Point lies between two given points

For A(−3,2)A(-3, 2), B(4,−19)B(4, -19), AC:CB=4:3AC:CB = 4:3, what is the x-coord of CC?

11

For A(−3,2)A(-3, 2), B(4,−19)B(4, -19), AC:CB=4:3AC:CB = 4:3, what is the y-coord of CC?

−10-10

Why is AC:CBAC:CB different from AC:ABAC:AB?

They refer to different segments

In the section formula, the first point's coord is multiplied by which ratio number?

The second ratio number

If CC divides ABAB in ratio 2:12:1, which point is CC closer to?

BB

Can the section formula be used to find an unknown endpoint?

Yes, by rearranging the formula

What appears in the denominator of the section formula?

p+qp + q

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