A line has equation `y = kx + 6` and a curve has equation `y = x^2 + 3x + 2k` , where k is a constant. Find the two values of k for which the line is a tangent to the curve.
When line is tangent to the curve the gradient of tangent is equal to the gradient of line.
At tangent points;
`kx+6 = x^2+3x+2k`
`0 = x^2 +(3-k)x+(2k-6)` -------------(1)
At tangent points...
(The entire section contains 103 words.)
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