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[20分] Maths (Urgent)

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6.) M_PQ = (-2+7)/(-4+10) = 5/6 M_QR = (8+2)/(8+4) = 10/12 = 5/6 M_PQ = M_QR Hence, Q,R,P collinear. 7.) M_CD = M_DE (Given) (3-5)/(k+1) = (5-9)/(-1-3) -2/(k+1) = 4/4 -2 = k+1 k = -3 8.) Since P lies on x-axis , s = 0, Since Q lies on y-axis ,, h = 0 (0+3)/(r-4) = (-3+9)/(4-8) 3/(r-4) = -6/4 12 = -6r + 24 r = 2 (k+3)/(0-4) = (-3+9)/(4-8) -(k+3)/4 = -6/4 k+3 = 6 k = 3

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6.) M_PQ = (-2+7)/(-4+10) = 5/6 M_QR = (8+2)/(8+4) = 10/12 = 5/6 M_PQ = M_QR Hence, Q,R,P collinear. 7.) M_CD = M_DE (Given) (3-5)/(k+1) = (5-9)/(-1-3) -2/(k+1) = 4/4 -2 = k+1 k = -3 8.) Since P lies on x-axis , s = 0, Since Q lies on y-axis ,, h = 0 (0+3)/(r-4) = (-3+9)/(4-8) 3/(r-4) = -6/4 12 = -6r + 24 r = 2 (k+3)/(0-4) = (-3+9)/(4-8) -(k+3)/4 = -6/4 k+3 = 6 k = 3

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