O-LevelAdditional MathematicsDifferentiation and integration4037/12 · May/June 2013 · Q66 Marks
The normal to the curve y + 2 = 3 tan x, at the point on the curve where x = 3π/4, cuts the y-axis at the point P. Find the coordinates of P.
- The normal to the curve y + 2 = 3 tan x, at the point on the curve where x = 3π/4, cuts the y-axis at the point P. Find the coordinates of P.[6]
Mark scheme
Marking points from the official mark scheme (May/June 2013). The mark or mark type is shown in brackets.
- [1] B1 for 3sec²x
- [1] B1 for dy/dx = 6, may be implied by later work
- [1] B1 for y
- [1] M1 for perpendicular gradient from dy/dx
- [1] M1 for attempt at the normal using their y value correctly and x = 3π/4 and substitution of x = 0
- [1] A1 for obtaining y value
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