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Mathematics · Oct / Nov 2020 · Paper 22 · Question 24

0580

As printed in the paper

The question as text

A line from the point (2, 3) is perpendicular to the line y x 3 1 1 = + . The two lines meet at the point P. Find the coordinates of P. ( , ) [5] Questions 25 and 26 are printed on the next page.

Read automatically from the paper; the printed page above is exact.

Show the answer and mark scheme

(2.4, 1.8) oe [5]

M1 for [gradient =] –1 ÷ 1 3 oe

M1 for substituting (2, 3) into y = (their m)x + c oe 1 3 x + = 1 their mx ( + c )

M1 for with their m ≠ 1 3

M1 for substituting their x-coord into either equation to find y or for substituting their y-coord into either equation to find x

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