Easy -1.8 This is a straightforward application of the distance formula requiring only substitution and simplification of a square root. The only minor challenge is expressing the answer in the specified form with prime numbers, but the calculation itself is routine: √[(6-2)² + (1-(-1))²] = √20 = 2√5.
1 Calculate the exact distance between the points ( \(2 , - 1\) ) and ( 6,1 ). Give your answer in the form \(\mathrm { a } \sqrt { \mathrm { b } }\), where \(a\) and \(b\) are prime numbers.
must be sum of two squares; may be implied by correct answer or by \((\pm 4)^2 + (\pm 2)^2\)
\(2\sqrt{5}\) cao
A1
mark the final answer; B2 for correct answer unsupported
## Question 1:
$(6-2)^2 + (1--1)^2$ soi | M1 | must be sum of two squares; may be implied by correct answer or by $(\pm 4)^2 + (\pm 2)^2$
$2\sqrt{5}$ cao | A1 | mark the final answer; **B2** for correct answer unsupported
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1 Calculate the exact distance between the points ( $2 , - 1$ ) and ( 6,1 ). Give your answer in the form $\mathrm { a } \sqrt { \mathrm { b } }$, where $a$ and $b$ are prime numbers.
\hfill \mbox{\textit{OCR MEI Paper 2 2024 Q1 [2]}}