Edexcel IALMathematicsGeneral Applications8 Marks
The curve C has parametric equations x = 3 cos t, y = 2 sin t, 0 ≤ t < 2π.
- (a)Find the equation of the normal to C at the point where t = π/4.[6]
- (b)Find a Cartesian equation of C.[2]
Mark scheme
Marking points from the official mark scheme. The mark or mark type is shown in brackets.
- (a) B1: for finding dx/dt and dy/dt.
- (a) M1: for finding dy/dx.
- (a) A1: for correct dy/dx.
- (a) M1: for finding the gradient of the normal.
- (a) M1: for finding the coordinates of the point.
- (a) A1: for equation of the normal.
- (b) M1: for attempting to eliminate t.
- (b) A1: for correct Cartesian equation.
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