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Question 7: (a) Use ruler and compasses only for this question: (i) Construct AABC, where AB = 3.5 cm, BC = 6 om and Z ABC = 60%, (ii) Construct the locus of points inside the triangle which are equidistant from BA and BC (iii) Construct the locus of points inside the triangle which are equidistant from B and C. (iv) Mark the point P which is equidistant from AB, BC and also equidistant from B and C. Measure and record the length of PB. [3] (b) The equation of a line is 3x + 4y - 7 = 0. Find () the slope of the line. (ii) the equation of a line perpendicular to the given line and passing through the intersection of the lines x - y + 2 = 0 and 3x + y - 10 = 0. [3] (c) The mean of the following distribution is 52 and the frequency of class interval 30-40 is f. Find f. Class Interval 10-20 20-30 30-40 40-50 50-60 60-70 70-80 Frequency 5 3 7 2 6 13Question 6: (@) A manufacturer marks an article for Rs. 5,000. He sells it to a wholesaler at a discount of 25% on the market price and the wholesaler sells it to a retailer at a discount of 15% on the market price, The retailers sells it to a consumer at the market price and at each stage the VAT is 8% Calculate the amount of VAT received by the Government from: (i) the wholesaler (ii) the retailer. [3] (b) In the following figure O is the centre of the circle and AB is a tangent to it at point B. _ BDC = 653. Find Z BAO [3] B D165 O (c) A doorway is decorated as shown in the figure. There are four semi-circles. BC, the diameter of the larger semi circle is of length 84 cm. Centres of the three equal semi-circles lie on BC. ABC is an isosceles triangle with AB = AC. If BO = OC, find the area of the shaded region. (Take n = 22/7) [4] B