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Unattributed TMUA Mock Set A Paper 1 · Q15

Paper 1GeometryFunctions & graphs

ll is a tangent to the curve y=x2−2x+3y=x^2-2x+3, and ll meets the curve at PP. If the range of the xx-coordinate of PP is [1,32]\left[1,\frac32\right], then which of the following is the range of the inclination angle of the tangent?

A[0,π2][0,\frac\pi2]
B[0,π4][0,\frac\pi4]
C[0,π][0,\pi]
D[0,π)[0,\pi)
E[3π4,π)[\frac{3\pi}{4},\pi)
F[3π4,π][\frac{3\pi}{4},\pi]

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