MAT - Paper 2007 - Q1D
Flashcards
2021-10-14
Does the line $y = \frac{3}{4}x$ go through the circle
\[(x - 1)^2 + (y - 1)^2 = 1\]?? No way Jose.
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These are the circles
\[(x - 1)^2 + (y - 1)^2\]and
\[(x - 5)^2 + (y - 4)^2 = 4\]What is the vector for moving from the little circle to the big circle??
\[\left(\begin{matrix} 4 \\\\ 3 \end{matrix}\right)\]#####
If the vector for moving between the centre of each of the two circles (Dad) is
\[\left(\begin{matrix} 4 \\\\ 3 \end{matrix}\right)\](magnitude $5$), then what fraction of the journey is taken up by moving out of the first circle and up to the outside of the second circle??
\[\frac{3}{5}\]Does the line $y = \frac{3}{4}x$ go through the circle
\[(x - 1)^2 + (y - 1)^2 = 1\]
?
No way Jose.