(i) Solve the following quadratic equation for x and give your answer correct to three significant figures: 2x² - 10x + 5 = 0 (Use mathematical tables if necessary)

(ii) The nth term of an Arithmetic Progression (A.P.) is given by the relation T_n = 6(7 - n). Find:
(a) its first term and common difference
(b) sum of its first 25 terms

(iii) In the given diagram ▵ADB and ▵ACB are two right angled triangles with ∠ADB = ∠BCA = 90°. If AB = 10 cm, AD = 6 cm, BC = 2.4 cm and DP = 4.5 cm

(a) Prove that ▵APD ~ ▵BPC
(b) Find the length of BD and PB
(c) Hence, find the length of PA
(d) Find area ▵APD : area ▵BPC

Solution

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