Distance between intersection points

A question is this type if and only if it asks to calculate the distance between two intersection points after finding their coordinates.

1 questions · Standard +0.3

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OCR MEI Paper 1 2023 June Q7

7 marks Standard +0.3

7 Determine the exact distance between the two points at which the line through ( 4,5 ) and ( \(6 , - 1\) ) meets the curve \(y = 2 x ^ { 2 } - 7 x + 1\).