1. (a) Use a graph paper for this question. The graph of a linear equation in x and y, passes through A(−1, −1) and B(2, 5). From your graph, find the values of h and k, if the line passes through (h, 4) and (1/2, k).   2. (b) In an isosceles triangle ABC, with AB = AC, BD is the perpendicular from B to the side AC. Prove that BD2 − CD2 = 2AD · CD.   3. (c) A page from the passbook of Mrs. Rama Bhalla is given below : Date YEAR 2004 Particulars Withdrawals Rs. P. Deposits Rs. P. Balance Rs. P. Signature January 1 B/F -- -- 2000.00 January 9 By cash -- 200.00 2200.00 February 10 To cheque 500.00 -- 1700.00 February 24 By cheque -- 300.00 2000.00 July 29 To cheque 200.00 -- 1800.00 November 7 By cash -- 300.00 2100.00 December 8 By cash -- 200.00 2300.00 Calculate the interest due to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5 % per annum.